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Finding the Fourth Proportional to 312,759.96, 469,140 and 125,727.72

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Solution

The fourth proportional to 312,759.96, 469,140 and 125,727.72 is: 188,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,759.96 : 469,140 = 125,727.72 : x
  2. Step 2: Convert to fraction form
    312,759.96/469,140 = 125,727.72/x
  3. Step 3: Cross multiply
    312,759.96x = 469,140 × 125,727.72
  4. Step 4: Simplify right side
    312,759.96x = 58,983,902,560.80
  5. Step 5: Solve for x
    x = 58,983,902,560.80/312,759.96
  6. Step 6: Final answer
    x = 188,591.60

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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.