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Finding the Fourth Proportional to 510,407.80, 704,355.84 and 284,053.30

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Solution

The fourth proportional to 510,407.80, 704,355.84 and 284,053.30 is: 391,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,407.80 : 704,355.84 = 284,053.30 : x
  2. Step 2: Convert to fraction form
    510,407.80/704,355.84 = 284,053.30/x
  3. Step 3: Cross multiply
    510,407.80x = 704,355.84 × 284,053.30
  4. Step 4: Simplify right side
    510,407.80x = 200,074,600,726.27
  5. Step 5: Solve for x
    x = 200,074,600,726.27/510,407.80
  6. Step 6: Final answer
    x = 391,989.70

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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.