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Finding the Fourth Proportional to 865,607.10, 1,194,599.61 and 478,414.20

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Solution

The fourth proportional to 865,607.10, 1,194,599.61 and 478,414.20 is: 660,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,607.10 : 1,194,599.61 = 478,414.20 : x
  2. Step 2: Convert to fraction form
    865,607.10/1,194,599.61 = 478,414.20/x
  3. Step 3: Cross multiply
    865,607.10x = 1,194,599.61 × 478,414.20
  4. Step 4: Simplify right side
    865,607.10x = 571,513,418,027.62
  5. Step 5: Solve for x
    x = 571,513,418,027.62/865,607.10
  6. Step 6: Final answer
    x = 660,245.76

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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.