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Finding the Fourth Proportional to 288,967.86, 398,753.91 and 161,618.85

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Solution

The fourth proportional to 288,967.86, 398,753.91 and 161,618.85 is: 223,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,967.86 : 398,753.91 = 161,618.85 : x
  2. Step 2: Convert to fraction form
    288,967.86/398,753.91 = 161,618.85/x
  3. Step 3: Cross multiply
    288,967.86x = 398,753.91 × 161,618.85
  4. Step 4: Simplify right side
    288,967.86x = 64,446,148,367.20
  5. Step 5: Solve for x
    x = 64,446,148,367.20/288,967.86
  6. Step 6: Final answer
    x = 223,021.86

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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.