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Finding the Fourth Proportional to 312,229.86, 468,393.57 and 101,818.86

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Solution

The fourth proportional to 312,229.86, 468,393.57 and 101,818.86 is: 152,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,229.86 : 468,393.57 = 101,818.86 : x
  2. Step 2: Convert to fraction form
    312,229.86/468,393.57 = 101,818.86/x
  3. Step 3: Cross multiply
    312,229.86x = 468,393.57 × 101,818.86
  4. Step 4: Simplify right side
    312,229.86x = 47,691,299,328.73
  5. Step 5: Solve for x
    x = 47,691,299,328.73/312,229.86
  6. Step 6: Final answer
    x = 152,744.20

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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.