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Finding the Fourth Proportional to 256,882.16, 354,491.16 and 143,708.96

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Solution

The fourth proportional to 256,882.16, 354,491.16 and 143,708.96 is: 198,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,882.16 : 354,491.16 = 143,708.96 : x
  2. Step 2: Convert to fraction form
    256,882.16/354,491.16 = 143,708.96/x
  3. Step 3: Cross multiply
    256,882.16x = 354,491.16 × 143,708.96
  4. Step 4: Simplify right side
    256,882.16x = 50,943,555,932.79
  5. Step 5: Solve for x
    x = 50,943,555,932.79/256,882.16
  6. Step 6: Final answer
    x = 198,314.88

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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.