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Finding the Fourth Proportional to 408,515.20, 612,350.75 and 155,727.83

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Solution

The fourth proportional to 408,515.20, 612,350.75 and 155,727.83 is: 233,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,515.20 : 612,350.75 = 155,727.83 : x
  2. Step 2: Convert to fraction form
    408,515.20/612,350.75 = 155,727.83/x
  3. Step 3: Cross multiply
    408,515.20x = 612,350.75 × 155,727.83
  4. Step 4: Simplify right side
    408,515.20x = 95,360,055,416.57
  5. Step 5: Solve for x
    x = 95,360,055,416.57/408,515.20
  6. Step 6: Final answer
    x = 233,430.86

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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.