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Finding the Fourth Proportional to 382,633.80, 574,011.45 and 129,938.10

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Solution

The fourth proportional to 382,633.80, 574,011.45 and 129,938.10 is: 194,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,633.80 : 574,011.45 = 129,938.10 : x
  2. Step 2: Convert to fraction form
    382,633.80/574,011.45 = 129,938.10/x
  3. Step 3: Cross multiply
    382,633.80x = 574,011.45 × 129,938.10
  4. Step 4: Simplify right side
    382,633.80x = 74,585,957,191.25
  5. Step 5: Solve for x
    x = 74,585,957,191.25/382,633.80
  6. Step 6: Final answer
    x = 194,927.78

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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.