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Finding the Fourth Proportional to 429,497.60, 644,246.40 and 392,099.90

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Solution

The fourth proportional to 429,497.60, 644,246.40 and 392,099.90 is: 588,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,497.60 : 644,246.40 = 392,099.90 : x
  2. Step 2: Convert to fraction form
    429,497.60/644,246.40 = 392,099.90/x
  3. Step 3: Cross multiply
    429,497.60x = 644,246.40 × 392,099.90
  4. Step 4: Simplify right side
    429,497.60x = 252,608,949,015.36
  5. Step 5: Solve for x
    x = 252,608,949,015.36/429,497.60
  6. Step 6: Final answer
    x = 588,149.85

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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.