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Finding the Fourth Proportional to 429,439.60, 644,232.30 and 129,917.80

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Solution

The fourth proportional to 429,439.60, 644,232.30 and 129,917.80 is: 194,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,439.60 : 644,232.30 = 129,917.80 : x
  2. Step 2: Convert to fraction form
    429,439.60/644,232.30 = 129,917.80/x
  3. Step 3: Cross multiply
    429,439.60x = 644,232.30 × 129,917.80
  4. Step 4: Simplify right side
    429,439.60x = 83,697,243,104.94
  5. Step 5: Solve for x
    x = 83,697,243,104.94/429,439.60
  6. Step 6: Final answer
    x = 194,898.75

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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.