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Finding the Fourth Proportional to 428,909.31, 643,366.40 and 113,362.88

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Solution

The fourth proportional to 428,909.31, 643,366.40 and 113,362.88 is: 170,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,909.31 : 643,366.40 = 113,362.88 : x
  2. Step 2: Convert to fraction form
    428,909.31/643,366.40 = 113,362.88/x
  3. Step 3: Cross multiply
    428,909.31x = 643,366.40 × 113,362.88
  4. Step 4: Simplify right side
    428,909.31x = 72,933,864,215.59
  5. Step 5: Solve for x
    x = 72,933,864,215.59/428,909.31
  6. Step 6: Final answer
    x = 170,044.95

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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.