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Finding the Fourth Proportional to 312,375.52, 468,561.74 and 75,718.20

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Solution

The fourth proportional to 312,375.52, 468,561.74 and 75,718.20 is: 113,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,375.52 : 468,561.74 = 75,718.20 : x
  2. Step 2: Convert to fraction form
    312,375.52/468,561.74 = 75,718.20/x
  3. Step 3: Cross multiply
    312,375.52x = 468,561.74 × 75,718.20
  4. Step 4: Simplify right side
    312,375.52x = 35,478,652,920.18
  5. Step 5: Solve for x
    x = 35,478,652,920.18/312,375.52
  6. Step 6: Final answer
    x = 113,576.93

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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.