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Finding the Fourth Proportional to 490,718.20, 736,077.30 and 411,986.20

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Solution

The fourth proportional to 490,718.20, 736,077.30 and 411,986.20 is: 617,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,718.20 : 736,077.30 = 411,986.20 : x
  2. Step 2: Convert to fraction form
    490,718.20/736,077.30 = 411,986.20/x
  3. Step 3: Cross multiply
    490,718.20x = 736,077.30 × 411,986.20
  4. Step 4: Simplify right side
    490,718.20x = 303,253,689,733.26
  5. Step 5: Solve for x
    x = 303,253,689,733.26/490,718.20
  6. Step 6: Final answer
    x = 617,979.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.