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Finding the Fourth Proportional to 215,806.68, 323,719.74 and 156,359.16

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Solution

The fourth proportional to 215,806.68, 323,719.74 and 156,359.16 is: 234,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,806.68 : 323,719.74 = 156,359.16 : x
  2. Step 2: Convert to fraction form
    215,806.68/323,719.74 = 156,359.16/x
  3. Step 3: Cross multiply
    215,806.68x = 323,719.74 × 156,359.16
  4. Step 4: Simplify right side
    215,806.68x = 50,616,546,621.82
  5. Step 5: Solve for x
    x = 50,616,546,621.82/215,806.68
  6. Step 6: Final answer
    x = 234,545.78

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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.