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Finding the Fourth Proportional to 312,155.66, 468,234.71 and 75,497.96

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Solution

The fourth proportional to 312,155.66, 468,234.71 and 75,497.96 is: 113,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,155.66 : 468,234.71 = 75,497.96 : x
  2. Step 2: Convert to fraction form
    312,155.66/468,234.71 = 75,497.96/x
  3. Step 3: Cross multiply
    312,155.66x = 468,234.71 × 75,497.96
  4. Step 4: Simplify right side
    312,155.66x = 35,350,762,687.53
  5. Step 5: Solve for x
    x = 35,350,762,687.53/312,155.66
  6. Step 6: Final answer
    x = 113,247.23

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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.