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Finding the Fourth Proportional to 312,151.20, 468,226.80 and 112,478.10

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Solution

The fourth proportional to 312,151.20, 468,226.80 and 112,478.10 is: 168,717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,151.20 : 468,226.80 = 112,478.10 : x
  2. Step 2: Convert to fraction form
    312,151.20/468,226.80 = 112,478.10/x
  3. Step 3: Cross multiply
    312,151.20x = 468,226.80 × 112,478.10
  4. Step 4: Simplify right side
    312,151.20x = 52,665,260,833.08
  5. Step 5: Solve for x
    x = 52,665,260,833.08/312,151.20
  6. Step 6: Final answer
    x = 168,717.15

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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.