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Finding the Fourth Proportional to 428,293.28, 643,366.96 and 278,456.48

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Solution

The fourth proportional to 428,293.28, 643,366.96 and 278,456.48 is: 418,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,293.28 : 643,366.96 = 278,456.48 : x
  2. Step 2: Convert to fraction form
    428,293.28/643,366.96 = 278,456.48/x
  3. Step 3: Cross multiply
    428,293.28x = 643,366.96 × 278,456.48
  4. Step 4: Simplify right side
    428,293.28x = 179,149,699,029.90
  5. Step 5: Solve for x
    x = 179,149,699,029.90/428,293.28
  6. Step 6: Final answer
    x = 418,287.44

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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.