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Finding the Fourth Proportional to 429,414.32, 644,144.02 and 129,887.26

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Solution

The fourth proportional to 429,414.32, 644,144.02 and 129,887.26 is: 194,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,414.32 : 644,144.02 = 129,887.26 : x
  2. Step 2: Convert to fraction form
    429,414.32/644,144.02 = 129,887.26/x
  3. Step 3: Cross multiply
    429,414.32x = 644,144.02 × 129,887.26
  4. Step 4: Simplify right side
    429,414.32x = 83,666,101,803.19
  5. Step 5: Solve for x
    x = 83,666,101,803.19/429,414.32
  6. Step 6: Final answer
    x = 194,837.71

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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.