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Finding the Fourth Proportional to 224,754.82, 310,171.10 and 129,261.61

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Solution

The fourth proportional to 224,754.82, 310,171.10 and 129,261.61 is: 178,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,754.82 : 310,171.10 = 129,261.61 : x
  2. Step 2: Convert to fraction form
    224,754.82/310,171.10 = 129,261.61/x
  3. Step 3: Cross multiply
    224,754.82x = 310,171.10 × 129,261.61
  4. Step 4: Simplify right side
    224,754.82x = 40,093,215,761.47
  5. Step 5: Solve for x
    x = 40,093,215,761.47/224,754.82
  6. Step 6: Final answer
    x = 178,386.46

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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.