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Finding the Fourth Proportional to 312,179.76, 468,411.84 and 132,314.40

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Solution

The fourth proportional to 312,179.76, 468,411.84 and 132,314.40 is: 198,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,179.76 : 468,411.84 = 132,314.40 : x
  2. Step 2: Convert to fraction form
    312,179.76/468,411.84 = 132,314.40/x
  3. Step 3: Cross multiply
    312,179.76x = 468,411.84 × 132,314.40
  4. Step 4: Simplify right side
    312,179.76x = 61,977,631,562.50
  5. Step 5: Solve for x
    x = 61,977,631,562.50/312,179.76
  6. Step 6: Final answer
    x = 198,531.87

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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.