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Finding the Fourth Proportional to 391,617.40, 587,426.10 and 233,764.60

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Solution

The fourth proportional to 391,617.40, 587,426.10 and 233,764.60 is: 350,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,617.40 : 587,426.10 = 233,764.60 : x
  2. Step 2: Convert to fraction form
    391,617.40/587,426.10 = 233,764.60/x
  3. Step 3: Cross multiply
    391,617.40x = 587,426.10 × 233,764.60
  4. Step 4: Simplify right side
    391,617.40x = 137,319,427,296.06
  5. Step 5: Solve for x
    x = 137,319,427,296.06/391,617.40
  6. Step 6: Final answer
    x = 350,646.90

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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.