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Finding the Fourth Proportional to 288,229.20, 397,715.16 and 160,902

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Solution

The fourth proportional to 288,229.20, 397,715.16 and 160,902 is: 222,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,229.20 : 397,715.16 = 160,902 : x
  2. Step 2: Convert to fraction form
    288,229.20/397,715.16 = 160,902/x
  3. Step 3: Cross multiply
    288,229.20x = 397,715.16 × 160,902
  4. Step 4: Simplify right side
    288,229.20x = 63,993,164,674.32
  5. Step 5: Solve for x
    x = 63,993,164,674.32/288,229.20
  6. Step 6: Final answer
    x = 222,021.80

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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.