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Finding the Fourth Proportional to 408,157.23, 612,242.03 and 155,451.71

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Solution

The fourth proportional to 408,157.23, 612,242.03 and 155,451.71 is: 233,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,157.23 : 612,242.03 = 155,451.71 : x
  2. Step 2: Convert to fraction form
    408,157.23/612,242.03 = 155,451.71/x
  3. Step 3: Cross multiply
    408,157.23x = 612,242.03 × 155,451.71
  4. Step 4: Simplify right side
    408,157.23x = 95,174,070,497.37
  5. Step 5: Solve for x
    x = 95,174,070,497.37/408,157.23
  6. Step 6: Final answer
    x = 233,179.92

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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.