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Finding the Fourth Proportional to 312,294.30, 468,371.31 and 143,652.65

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Solution

The fourth proportional to 312,294.30, 468,371.31 and 143,652.65 is: 215,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,294.30 : 468,371.31 = 143,652.65 : x
  2. Step 2: Convert to fraction form
    312,294.30/468,371.31 = 143,652.65/x
  3. Step 3: Cross multiply
    312,294.30x = 468,371.31 × 143,652.65
  4. Step 4: Simplify right side
    312,294.30x = 67,282,777,523.62
  5. Step 5: Solve for x
    x = 67,282,777,523.62/312,294.30
  6. Step 6: Final answer
    x = 215,446.70

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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.