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Finding the Fourth Proportional to 428,843.84, 643,057.77 and 129,268.58

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Solution

The fourth proportional to 428,843.84, 643,057.77 and 129,268.58 is: 193,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,843.84 : 643,057.77 = 129,268.58 : x
  2. Step 2: Convert to fraction form
    428,843.84/643,057.77 = 129,268.58/x
  3. Step 3: Cross multiply
    428,843.84x = 643,057.77 × 129,268.58
  4. Step 4: Simplify right side
    428,843.84x = 83,127,164,785.87
  5. Step 5: Solve for x
    x = 83,127,164,785.87/428,843.84
  6. Step 6: Final answer
    x = 193,840.17

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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.