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Finding the Fourth Proportional to 382,140.70, 573,138.15 and 115,909.90

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Solution

The fourth proportional to 382,140.70, 573,138.15 and 115,909.90 is: 173,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,140.70 : 573,138.15 = 115,909.90 : x
  2. Step 2: Convert to fraction form
    382,140.70/573,138.15 = 115,909.90/x
  3. Step 3: Cross multiply
    382,140.70x = 573,138.15 × 115,909.90
  4. Step 4: Simplify right side
    382,140.70x = 66,432,385,652.69
  5. Step 5: Solve for x
    x = 66,432,385,652.69/382,140.70
  6. Step 6: Final answer
    x = 173,842.74

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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.