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Finding the Fourth Proportional to 312,247.42, 468,372.34 and 75,589.72

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Solution

The fourth proportional to 312,247.42, 468,372.34 and 75,589.72 is: 113,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,247.42 : 468,372.34 = 75,589.72 : x
  2. Step 2: Convert to fraction form
    312,247.42/468,372.34 = 75,589.72/x
  3. Step 3: Cross multiply
    312,247.42x = 468,372.34 × 75,589.72
  4. Step 4: Simplify right side
    312,247.42x = 35,404,134,036.34
  5. Step 5: Solve for x
    x = 35,404,134,036.34/312,247.42
  6. Step 6: Final answer
    x = 113,384.87

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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.