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Finding the Fourth Proportional to 513,081.55, 769,622.32 and 310,718.44

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Solution

The fourth proportional to 513,081.55, 769,622.32 and 310,718.44 is: 466,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,081.55 : 769,622.32 = 310,718.44 : x
  2. Step 2: Convert to fraction form
    513,081.55/769,622.32 = 310,718.44/x
  3. Step 3: Cross multiply
    513,081.55x = 769,622.32 × 310,718.44
  4. Step 4: Simplify right side
    513,081.55x = 239,135,842,811.47
  5. Step 5: Solve for x
    x = 239,135,842,811.47/513,081.55
  6. Step 6: Final answer
    x = 466,077.65

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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.