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Finding the Fourth Proportional to 428,843.34, 643,057.02 and 129,268.08

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Solution

The fourth proportional to 428,843.34, 643,057.02 and 129,268.08 is: 193,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,843.34 : 643,057.02 = 129,268.08 : x
  2. Step 2: Convert to fraction form
    428,843.34/643,057.02 = 129,268.08/x
  3. Step 3: Cross multiply
    428,843.34x = 643,057.02 × 129,268.08
  4. Step 4: Simplify right side
    428,843.34x = 83,126,746,305.92
  5. Step 5: Solve for x
    x = 83,126,746,305.92/428,843.34
  6. Step 6: Final answer
    x = 193,839.42

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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.