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Finding the Fourth Proportional to 288,082.34, 397,553.69 and 159,020.88

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Solution

The fourth proportional to 288,082.34, 397,553.69 and 159,020.88 is: 219,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,082.34 : 397,553.69 = 159,020.88 : x
  2. Step 2: Convert to fraction form
    288,082.34/397,553.69 = 159,020.88/x
  3. Step 3: Cross multiply
    288,082.34x = 397,553.69 × 159,020.88
  4. Step 4: Simplify right side
    288,082.34x = 63,219,338,028.60
  5. Step 5: Solve for x
    x = 63,219,338,028.60/288,082.34
  6. Step 6: Final answer
    x = 219,448.85

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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.