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Finding the Fourth Proportional to 288,331.16, 397,877.82 and 160,981.88

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Solution

The fourth proportional to 288,331.16, 397,877.82 and 160,981.88 is: 222,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,331.16 : 397,877.82 = 160,981.88 : x
  2. Step 2: Convert to fraction form
    288,331.16/397,877.82 = 160,981.88/x
  3. Step 3: Cross multiply
    288,331.16x = 397,877.82 × 160,981.88
  4. Step 4: Simplify right side
    288,331.16x = 64,051,119,473.90
  5. Step 5: Solve for x
    x = 64,051,119,473.90/288,331.16
  6. Step 6: Final answer
    x = 222,144.29

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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.