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Finding the Fourth Proportional to 429,142.78, 643,774.31 and 129,589.39

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Solution

The fourth proportional to 429,142.78, 643,774.31 and 129,589.39 is: 194,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,142.78 : 643,774.31 = 129,589.39 : x
  2. Step 2: Convert to fraction form
    429,142.78/643,774.31 = 129,589.39/x
  3. Step 3: Cross multiply
    429,142.78x = 643,774.31 × 129,589.39
  4. Step 4: Simplify right side
    429,142.78x = 83,426,320,130.57
  5. Step 5: Solve for x
    x = 83,426,320,130.57/429,142.78
  6. Step 6: Final answer
    x = 194,402.25

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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.