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Finding the Fourth Proportional to 288,199.19, 397,714.48 and 160,874.78

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Solution

The fourth proportional to 288,199.19, 397,714.48 and 160,874.78 is: 222,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,199.19 : 397,714.48 = 160,874.78 : x
  2. Step 2: Convert to fraction form
    288,199.19/397,714.48 = 160,874.78/x
  3. Step 3: Cross multiply
    288,199.19x = 397,714.48 × 160,874.78
  4. Step 4: Simplify right side
    288,199.19x = 63,982,229,472.81
  5. Step 5: Solve for x
    x = 63,982,229,472.81/288,199.19
  6. Step 6: Final answer
    x = 222,006.97

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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.