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Finding the Fourth Proportional to 493,824.60, 739,862.10 and 418,591.80

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Solution

The fourth proportional to 493,824.60, 739,862.10 and 418,591.80 is: 627,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,824.60 : 739,862.10 = 418,591.80 : x
  2. Step 2: Convert to fraction form
    493,824.60/739,862.10 = 418,591.80/x
  3. Step 3: Cross multiply
    493,824.60x = 739,862.10 × 418,591.80
  4. Step 4: Simplify right side
    493,824.60x = 309,700,208,190.78
  5. Step 5: Solve for x
    x = 309,700,208,190.78/493,824.60
  6. Step 6: Final answer
    x = 627,146.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.