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Finding the Fourth Proportional to 478,170.72, 659,677.84 and 284,540

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Solution

The fourth proportional to 478,170.72, 659,677.84 and 284,540 is: 392,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,170.72 : 659,677.84 = 284,540 : x
  2. Step 2: Convert to fraction form
    478,170.72/659,677.84 = 284,540/x
  3. Step 3: Cross multiply
    478,170.72x = 659,677.84 × 284,540
  4. Step 4: Simplify right side
    478,170.72x = 187,704,732,593.60
  5. Step 5: Solve for x
    x = 187,704,732,593.60/478,170.72
  6. Step 6: Final answer
    x = 392,547.52

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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.