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Finding the Fourth Proportional to 391,971.80, 587,180.10 and 233,730.20

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Solution

The fourth proportional to 391,971.80, 587,180.10 and 233,730.20 is: 350,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,971.80 : 587,180.10 = 233,730.20 : x
  2. Step 2: Convert to fraction form
    391,971.80/587,180.10 = 233,730.20/x
  3. Step 3: Cross multiply
    391,971.80x = 587,180.10 × 233,730.20
  4. Step 4: Simplify right side
    391,971.80x = 137,241,722,209.02
  5. Step 5: Solve for x
    x = 137,241,722,209.02/391,971.80
  6. Step 6: Final answer
    x = 350,131.62

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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.