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Finding the Fourth Proportional to 312,248.70, 468,374.22 and 75,591

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Solution

The fourth proportional to 312,248.70, 468,374.22 and 75,591 is: 113,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,248.70 : 468,374.22 = 75,591 : x
  2. Step 2: Convert to fraction form
    312,248.70/468,374.22 = 75,591/x
  3. Step 3: Cross multiply
    312,248.70x = 468,374.22 × 75,591
  4. Step 4: Simplify right side
    312,248.70x = 35,404,875,664.02
  5. Step 5: Solve for x
    x = 35,404,875,664.02/312,248.70
  6. Step 6: Final answer
    x = 113,386.78

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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.