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Finding the Fourth Proportional to 510,645.92, 704,691.36 and 284,344.80

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Solution

The fourth proportional to 510,645.92, 704,691.36 and 284,344.80 is: 392,395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,645.92 : 704,691.36 = 284,344.80 : x
  2. Step 2: Convert to fraction form
    510,645.92/704,691.36 = 284,344.80/x
  3. Step 3: Cross multiply
    510,645.92x = 704,691.36 × 284,344.80
  4. Step 4: Simplify right side
    510,645.92x = 200,375,323,820.93
  5. Step 5: Solve for x
    x = 200,375,323,820.93/510,645.92
  6. Step 6: Final answer
    x = 392,395.82

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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.