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Finding the Fourth Proportional to 429,053.98, 643,685.01 and 129,516.66

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Solution

The fourth proportional to 429,053.98, 643,685.01 and 129,516.66 is: 194,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,053.98 : 643,685.01 = 129,516.66 : x
  2. Step 2: Convert to fraction form
    429,053.98/643,685.01 = 129,516.66/x
  3. Step 3: Cross multiply
    429,053.98x = 643,685.01 × 129,516.66
  4. Step 4: Simplify right side
    429,053.98x = 83,367,932,587.27
  5. Step 5: Solve for x
    x = 83,367,932,587.27/429,053.98
  6. Step 6: Final answer
    x = 194,306.40

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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.