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Finding the Fourth Proportional to 231,259.79, 319,191.84 and 150,546.74

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Solution

The fourth proportional to 231,259.79, 319,191.84 and 150,546.74 is: 207,789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,259.79 : 319,191.84 = 150,546.74 : x
  2. Step 2: Convert to fraction form
    231,259.79/319,191.84 = 150,546.74/x
  3. Step 3: Cross multiply
    231,259.79x = 319,191.84 × 150,546.74
  4. Step 4: Simplify right side
    231,259.79x = 48,053,289,350.64
  5. Step 5: Solve for x
    x = 48,053,289,350.64/231,259.79
  6. Step 6: Final answer
    x = 207,789.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.