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Finding the Fourth Proportional to 408,608.68, 612,781.04 and 148,909.26

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Solution

The fourth proportional to 408,608.68, 612,781.04 and 148,909.26 is: 223,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,608.68 : 612,781.04 = 148,909.26 : x
  2. Step 2: Convert to fraction form
    408,608.68/612,781.04 = 148,909.26/x
  3. Step 3: Cross multiply
    408,608.68x = 612,781.04 × 148,909.26
  4. Step 4: Simplify right side
    408,608.68x = 91,248,771,208.43
  5. Step 5: Solve for x
    x = 91,248,771,208.43/408,608.68
  6. Step 6: Final answer
    x = 223,315.79

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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.