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Finding the Fourth Proportional to 397,446.30, 595,964.65 and 147,999.90

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Solution

The fourth proportional to 397,446.30, 595,964.65 and 147,999.90 is: 221,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,446.30 : 595,964.65 = 147,999.90 : x
  2. Step 2: Convert to fraction form
    397,446.30/595,964.65 = 147,999.90/x
  3. Step 3: Cross multiply
    397,446.30x = 595,964.65 × 147,999.90
  4. Step 4: Simplify right side
    397,446.30x = 88,202,708,603.54
  5. Step 5: Solve for x
    x = 88,202,708,603.54/397,446.30
  6. Step 6: Final answer
    x = 221,923.59

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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.