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Finding the Fourth Proportional to 513,755.68, 708,981.84 and 287,401.18

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Solution

The fourth proportional to 513,755.68, 708,981.84 and 287,401.18 is: 396,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,755.68 : 708,981.84 = 287,401.18 : x
  2. Step 2: Convert to fraction form
    513,755.68/708,981.84 = 287,401.18/x
  3. Step 3: Cross multiply
    513,755.68x = 708,981.84 × 287,401.18
  4. Step 4: Simplify right side
    513,755.68x = 203,762,217,414.57
  5. Step 5: Solve for x
    x = 203,762,217,414.57/513,755.68
  6. Step 6: Final answer
    x = 396,613.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.