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Finding the Fourth Proportional to 428,701.88, 643,052.48 and 129,182.46

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Solution

The fourth proportional to 428,701.88, 643,052.48 and 129,182.46 is: 193,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,701.88 : 643,052.48 = 129,182.46 : x
  2. Step 2: Convert to fraction form
    428,701.88/643,052.48 = 129,182.46/x
  3. Step 3: Cross multiply
    428,701.88x = 643,052.48 × 129,182.46
  4. Step 4: Simplify right side
    428,701.88x = 83,071,101,917.84
  5. Step 5: Solve for x
    x = 83,071,101,917.84/428,701.88
  6. Step 6: Final answer
    x = 193,773.59

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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.