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Finding the Fourth Proportional to 408,149.20, 612,063.60 and 155,295.40

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Solution

The fourth proportional to 408,149.20, 612,063.60 and 155,295.40 is: 232,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,149.20 : 612,063.60 = 155,295.40 : x
  2. Step 2: Convert to fraction form
    408,149.20/612,063.60 = 155,295.40/x
  3. Step 3: Cross multiply
    408,149.20x = 612,063.60 × 155,295.40
  4. Step 4: Simplify right side
    408,149.20x = 95,050,661,587.44
  5. Step 5: Solve for x
    x = 95,050,661,587.44/408,149.20
  6. Step 6: Final answer
    x = 232,882.15

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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.