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Finding the Fourth Proportional to 429,059.75, 643,693.64 and 129,522.42

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Solution

The fourth proportional to 429,059.75, 643,693.64 and 129,522.42 is: 194,315.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,059.75 : 643,693.64 = 129,522.42 : x
  2. Step 2: Convert to fraction form
    429,059.75/643,693.64 = 129,522.42/x
  3. Step 3: Cross multiply
    429,059.75x = 643,693.64 × 129,522.42
  4. Step 4: Simplify right side
    429,059.75x = 83,372,757,343.80
  5. Step 5: Solve for x
    x = 83,372,757,343.80/429,059.75
  6. Step 6: Final answer
    x = 194,315.03

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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.