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Finding the Fourth Proportional to 382,642.80, 574,024.95 and 129,947.10

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Solution

The fourth proportional to 382,642.80, 574,024.95 and 129,947.10 is: 194,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,642.80 : 574,024.95 = 129,947.10 : x
  2. Step 2: Convert to fraction form
    382,642.80/574,024.95 = 129,947.10/x
  3. Step 3: Cross multiply
    382,642.80x = 574,024.95 × 129,947.10
  4. Step 4: Simplify right side
    382,642.80x = 74,592,877,580.15
  5. Step 5: Solve for x
    x = 74,592,877,580.15/382,642.80
  6. Step 6: Final answer
    x = 194,941.28

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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.