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Finding the Fourth Proportional to 429,438.60, 644,230.80 and 129,916.80

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Solution

The fourth proportional to 429,438.60, 644,230.80 and 129,916.80 is: 194,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,438.60 : 644,230.80 = 129,916.80 : x
  2. Step 2: Convert to fraction form
    429,438.60/644,230.80 = 129,916.80/x
  3. Step 3: Cross multiply
    429,438.60x = 644,230.80 × 129,916.80
  4. Step 4: Simplify right side
    429,438.60x = 83,696,403,997.44
  5. Step 5: Solve for x
    x = 83,696,403,997.44/429,438.60
  6. Step 6: Final answer
    x = 194,897.25

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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.