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Finding the Fourth Proportional to 288,666.38, 398,371.77 and 161,341.88

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Solution

The fourth proportional to 288,666.38, 398,371.77 and 161,341.88 is: 222,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,666.38 : 398,371.77 = 161,341.88 : x
  2. Step 2: Convert to fraction form
    288,666.38/398,371.77 = 161,341.88/x
  3. Step 3: Cross multiply
    288,666.38x = 398,371.77 × 161,341.88
  4. Step 4: Simplify right side
    288,666.38x = 64,274,048,318.87
  5. Step 5: Solve for x
    x = 64,274,048,318.87/288,666.38
  6. Step 6: Final answer
    x = 222,658.59

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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.