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Finding the Fourth Proportional to 224,460, 309,761.28 and 123,864.48

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Solution

The fourth proportional to 224,460, 309,761.28 and 123,864.48 is: 170,936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,460 : 309,761.28 = 123,864.48 : x
  2. Step 2: Convert to fraction form
    224,460/309,761.28 = 123,864.48/x
  3. Step 3: Cross multiply
    224,460x = 309,761.28 × 123,864.48
  4. Step 4: Simplify right side
    224,460x = 38,368,419,871.33
  5. Step 5: Solve for x
    x = 38,368,419,871.33/224,460
  6. Step 6: Final answer
    x = 170,936.56

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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.