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Finding the Fourth Proportional to 258,138.40, 386,689.20 and 147,200.80

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Solution

The fourth proportional to 258,138.40, 386,689.20 and 147,200.80 is: 220,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,138.40 : 386,689.20 = 147,200.80 : x
  2. Step 2: Convert to fraction form
    258,138.40/386,689.20 = 147,200.80/x
  3. Step 3: Cross multiply
    258,138.40x = 386,689.20 × 147,200.80
  4. Step 4: Simplify right side
    258,138.40x = 56,920,959,591.36
  5. Step 5: Solve for x
    x = 56,920,959,591.36/258,138.40
  6. Step 6: Final answer
    x = 220,505.59

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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.