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Finding the Fourth Proportional to 288,326.36, 397,890.70 and 161,001.92

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Solution

The fourth proportional to 288,326.36, 397,890.70 and 161,001.92 is: 222,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,326.36 : 397,890.70 = 161,001.92 : x
  2. Step 2: Convert to fraction form
    288,326.36/397,890.70 = 161,001.92/x
  3. Step 3: Cross multiply
    288,326.36x = 397,890.70 × 161,001.92
  4. Step 4: Simplify right side
    288,326.36x = 64,061,166,650.14
  5. Step 5: Solve for x
    x = 64,061,166,650.14/288,326.36
  6. Step 6: Final answer
    x = 222,182.83

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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.