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Finding the Fourth Proportional to 312,375.32, 468,465.96 and 112,669.74

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Solution

The fourth proportional to 312,375.32, 468,465.96 and 112,669.74 is: 168,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,375.32 : 468,465.96 = 112,669.74 : x
  2. Step 2: Convert to fraction form
    312,375.32/468,465.96 = 112,669.74/x
  3. Step 3: Cross multiply
    312,375.32x = 468,465.96 × 112,669.74
  4. Step 4: Simplify right side
    312,375.32x = 52,781,937,912.05
  5. Step 5: Solve for x
    x = 52,781,937,912.05/312,375.32
  6. Step 6: Final answer
    x = 168,969.62

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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.