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Finding the Fourth Proportional to 270,767.31, 406,188.63 and 112,959.46

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Solution

The fourth proportional to 270,767.31, 406,188.63 and 112,959.46 is: 169,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,767.31 : 406,188.63 = 112,959.46 : x
  2. Step 2: Convert to fraction form
    270,767.31/406,188.63 = 112,959.46/x
  3. Step 3: Cross multiply
    270,767.31x = 406,188.63 × 112,959.46
  4. Step 4: Simplify right side
    270,767.31x = 45,882,847,738.14
  5. Step 5: Solve for x
    x = 45,882,847,738.14/270,767.31
  6. Step 6: Final answer
    x = 169,454.90

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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.