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Finding the Fourth Proportional to 382,644.30, 574,027.20 and 129,948.60

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Solution

The fourth proportional to 382,644.30, 574,027.20 and 129,948.60 is: 194,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,644.30 : 574,027.20 = 129,948.60 : x
  2. Step 2: Convert to fraction form
    382,644.30/574,027.20 = 129,948.60/x
  3. Step 3: Cross multiply
    382,644.30x = 574,027.20 × 129,948.60
  4. Step 4: Simplify right side
    382,644.30x = 74,594,031,001.92
  5. Step 5: Solve for x
    x = 74,594,031,001.92/382,644.30
  6. Step 6: Final answer
    x = 194,943.53

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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.