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Finding the Fourth Proportional to 491,115.20, 736,154.40 and 280,299.20

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Solution

The fourth proportional to 491,115.20, 736,154.40 and 280,299.20 is: 420,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,115.20 : 736,154.40 = 280,299.20 : x
  2. Step 2: Convert to fraction form
    491,115.20/736,154.40 = 280,299.20/x
  3. Step 3: Cross multiply
    491,115.20x = 736,154.40 × 280,299.20
  4. Step 4: Simplify right side
    491,115.20x = 206,343,489,396.48
  5. Step 5: Solve for x
    x = 206,343,489,396.48/491,115.20
  6. Step 6: Final answer
    x = 420,152.93

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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.