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Finding the Fourth Proportional to 382,031.95, 572,691.64 and 129,136.48

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Solution

The fourth proportional to 382,031.95, 572,691.64 and 129,136.48 is: 193,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,031.95 : 572,691.64 = 129,136.48 : x
  2. Step 2: Convert to fraction form
    382,031.95/572,691.64 = 129,136.48/x
  3. Step 3: Cross multiply
    382,031.95x = 572,691.64 × 129,136.48
  4. Step 4: Simplify right side
    382,031.95x = 73,955,382,515.03
  5. Step 5: Solve for x
    x = 73,955,382,515.03/382,031.95
  6. Step 6: Final answer
    x = 193,584.29

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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.