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Finding the Fourth Proportional to 428,034.71, 642,079.74 and 143,713.78

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Solution

The fourth proportional to 428,034.71, 642,079.74 and 143,713.78 is: 215,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,034.71 : 642,079.74 = 143,713.78 : x
  2. Step 2: Convert to fraction form
    428,034.71/642,079.74 = 143,713.78/x
  3. Step 3: Cross multiply
    428,034.71x = 642,079.74 × 143,713.78
  4. Step 4: Simplify right side
    428,034.71x = 92,275,705,430.54
  5. Step 5: Solve for x
    x = 92,275,705,430.54/428,034.71
  6. Step 6: Final answer
    x = 215,579.96

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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.