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Finding the Fourth Proportional to 429,060.75, 643,695.14 and 129,523.42

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Solution

The fourth proportional to 429,060.75, 643,695.14 and 129,523.42 is: 194,316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,060.75 : 643,695.14 = 129,523.42 : x
  2. Step 2: Convert to fraction form
    429,060.75/643,695.14 = 129,523.42/x
  3. Step 3: Cross multiply
    429,060.75x = 643,695.14 × 129,523.42
  4. Step 4: Simplify right side
    429,060.75x = 83,373,595,970.18
  5. Step 5: Solve for x
    x = 83,373,595,970.18/429,060.75
  6. Step 6: Final answer
    x = 194,316.53

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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.