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Finding the Fourth Proportional to 231,422.49, 319,256.51 and 159,902.73

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Solution

The fourth proportional to 231,422.49, 319,256.51 and 159,902.73 is: 220,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,422.49 : 319,256.51 = 159,902.73 : x
  2. Step 2: Convert to fraction form
    231,422.49/319,256.51 = 159,902.73/x
  3. Step 3: Cross multiply
    231,422.49x = 319,256.51 × 159,902.73
  4. Step 4: Simplify right side
    231,422.49x = 51,049,986,719.76
  5. Step 5: Solve for x
    x = 51,049,986,719.76/231,422.49
  6. Step 6: Final answer
    x = 220,592.16

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1.5x scale

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.