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Finding the Fourth Proportional to 303,082.48, 418,257.12 and 167,116.78

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Solution

The fourth proportional to 303,082.48, 418,257.12 and 167,116.78 is: 230,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,082.48 : 418,257.12 = 167,116.78 : x
  2. Step 2: Convert to fraction form
    303,082.48/418,257.12 = 167,116.78/x
  3. Step 3: Cross multiply
    303,082.48x = 418,257.12 × 167,116.78
  4. Step 4: Simplify right side
    303,082.48x = 69,897,783,106.47
  5. Step 5: Solve for x
    x = 69,897,783,106.47/303,082.48
  6. Step 6: Final answer
    x = 230,622.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.