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Finding the Fourth Proportional to 408,151.50, 612,233.48 and 155,445.98

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Solution

The fourth proportional to 408,151.50, 612,233.48 and 155,445.98 is: 233,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,151.50 : 612,233.48 = 155,445.98 : x
  2. Step 2: Convert to fraction form
    408,151.50/612,233.48 = 155,445.98/x
  3. Step 3: Cross multiply
    408,151.50x = 612,233.48 × 155,445.98
  4. Step 4: Simplify right side
    408,151.50x = 95,169,229,449.01
  5. Step 5: Solve for x
    x = 95,169,229,449.01/408,151.50
  6. Step 6: Final answer
    x = 233,171.33

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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.