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Finding the Fourth Proportional to 382,641.18, 573,981.21 and 129,951.42

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Solution

The fourth proportional to 382,641.18, 573,981.21 and 129,951.42 is: 194,933.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,641.18 : 573,981.21 = 129,951.42 : x
  2. Step 2: Convert to fraction form
    382,641.18/573,981.21 = 129,951.42/x
  3. Step 3: Cross multiply
    382,641.18x = 573,981.21 × 129,951.42
  4. Step 4: Simplify right side
    382,641.18x = 74,589,673,292.82
  5. Step 5: Solve for x
    x = 74,589,673,292.82/382,641.18
  6. Step 6: Final answer
    x = 194,933.73

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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.