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Finding the Fourth Proportional to 510,780.92, 704,909.52 and 281,338.16

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Solution

The fourth proportional to 510,780.92, 704,909.52 and 281,338.16 is: 388,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,780.92 : 704,909.52 = 281,338.16 : x
  2. Step 2: Convert to fraction form
    510,780.92/704,909.52 = 281,338.16/x
  3. Step 3: Cross multiply
    510,780.92x = 704,909.52 × 281,338.16
  4. Step 4: Simplify right side
    510,780.92x = 198,317,943,798.74
  5. Step 5: Solve for x
    x = 198,317,943,798.74/510,780.92
  6. Step 6: Final answer
    x = 388,264.20

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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.