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Finding the Fourth Proportional to 510,654.62, 704,659.82 and 284,321.18

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Solution

The fourth proportional to 510,654.62, 704,659.82 and 284,321.18 is: 392,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,654.62 : 704,659.82 = 284,321.18 : x
  2. Step 2: Convert to fraction form
    510,654.62/704,659.82 = 284,321.18/x
  3. Step 3: Cross multiply
    510,654.62x = 704,659.82 × 284,321.18
  4. Step 4: Simplify right side
    510,654.62x = 200,349,711,520.99
  5. Step 5: Solve for x
    x = 200,349,711,520.99/510,654.62
  6. Step 6: Final answer
    x = 392,338.98

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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.