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Finding the Fourth Proportional to 389,805.12, 584,659.08 and 109,344.24

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Solution

The fourth proportional to 389,805.12, 584,659.08 and 109,344.24 is: 164,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,805.12 : 584,659.08 = 109,344.24 : x
  2. Step 2: Convert to fraction form
    389,805.12/584,659.08 = 109,344.24/x
  3. Step 3: Cross multiply
    389,805.12x = 584,659.08 × 109,344.24
  4. Step 4: Simplify right side
    389,805.12x = 63,929,102,761.70
  5. Step 5: Solve for x
    x = 63,929,102,761.70/389,805.12
  6. Step 6: Final answer
    x = 164,002.73

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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.