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Finding the Fourth Proportional to 312,575.76, 468,951.12 and 125,718.48

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Solution

The fourth proportional to 312,575.76, 468,951.12 and 125,718.48 is: 188,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,575.76 : 468,951.12 = 125,718.48 : x
  2. Step 2: Convert to fraction form
    312,575.76/468,951.12 = 125,718.48/x
  3. Step 3: Cross multiply
    312,575.76x = 468,951.12 × 125,718.48
  4. Step 4: Simplify right side
    312,575.76x = 58,955,822,000.70
  5. Step 5: Solve for x
    x = 58,955,822,000.70/312,575.76
  6. Step 6: Final answer
    x = 188,612.90

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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.