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Finding the Fourth Proportional to 492,909.12, 739,363.20 and 118,932

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Solution

The fourth proportional to 492,909.12, 739,363.20 and 118,932 is: 178,397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,909.12 : 739,363.20 = 118,932 : x
  2. Step 2: Convert to fraction form
    492,909.12/739,363.20 = 118,932/x
  3. Step 3: Cross multiply
    492,909.12x = 739,363.20 × 118,932
  4. Step 4: Simplify right side
    492,909.12x = 87,933,944,102.40
  5. Step 5: Solve for x
    x = 87,933,944,102.40/492,909.12
  6. Step 6: Final answer
    x = 178,397.88

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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.