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Finding the Fourth Proportional to 429,052.98, 643,683.51 and 129,515.66

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Solution

The fourth proportional to 429,052.98, 643,683.51 and 129,515.66 is: 194,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,052.98 : 643,683.51 = 129,515.66 : x
  2. Step 2: Convert to fraction form
    429,052.98/643,683.51 = 129,515.66/x
  3. Step 3: Cross multiply
    429,052.98x = 643,683.51 × 129,515.66
  4. Step 4: Simplify right side
    429,052.98x = 83,367,093,824.16
  5. Step 5: Solve for x
    x = 83,367,093,824.16/429,052.98
  6. Step 6: Final answer
    x = 194,304.90

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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.