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Finding the Fourth Proportional to 403,781.80, 605,672.70 and 137,842.60

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Solution

The fourth proportional to 403,781.80, 605,672.70 and 137,842.60 is: 206,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,781.80 : 605,672.70 = 137,842.60 : x
  2. Step 2: Convert to fraction form
    403,781.80/605,672.70 = 137,842.60/x
  3. Step 3: Cross multiply
    403,781.80x = 605,672.70 × 137,842.60
  4. Step 4: Simplify right side
    403,781.80x = 83,487,499,717.02
  5. Step 5: Solve for x
    x = 83,487,499,717.02/403,781.80
  6. Step 6: Final answer
    x = 206,763.90

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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.