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Finding the Fourth Proportional to 442,054.89, 663,082.32 and 161,572.14

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Solution

The fourth proportional to 442,054.89, 663,082.32 and 161,572.14 is: 242,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,054.89 : 663,082.32 = 161,572.14 : x
  2. Step 2: Convert to fraction form
    442,054.89/663,082.32 = 161,572.14/x
  3. Step 3: Cross multiply
    442,054.89x = 663,082.32 × 161,572.14
  4. Step 4: Simplify right side
    442,054.89x = 107,135,629,438.57
  5. Step 5: Solve for x
    x = 107,135,629,438.57/442,054.89
  6. Step 6: Final answer
    x = 242,358.20

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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.