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Finding the Fourth Proportional to 408,148.70, 612,062.85 and 155,294.90

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Solution

The fourth proportional to 408,148.70, 612,062.85 and 155,294.90 is: 232,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,148.70 : 612,062.85 = 155,294.90 : x
  2. Step 2: Convert to fraction form
    408,148.70/612,062.85 = 155,294.90/x
  3. Step 3: Cross multiply
    408,148.70x = 612,062.85 × 155,294.90
  4. Step 4: Simplify right side
    408,148.70x = 95,050,239,084.47
  5. Step 5: Solve for x
    x = 95,050,239,084.47/408,148.70
  6. Step 6: Final answer
    x = 232,881.40

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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.