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Finding the Fourth Proportional to 312,162.66, 468,243.96 and 132,276.42

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Solution

The fourth proportional to 312,162.66, 468,243.96 and 132,276.42 is: 198,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,162.66 : 468,243.96 = 132,276.42 : x
  2. Step 2: Convert to fraction form
    312,162.66/468,243.96 = 132,276.42/x
  3. Step 3: Cross multiply
    312,162.66x = 468,243.96 × 132,276.42
  4. Step 4: Simplify right side
    312,162.66x = 61,937,634,715.42
  5. Step 5: Solve for x
    x = 61,937,634,715.42/312,162.66
  6. Step 6: Final answer
    x = 198,414.62

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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.