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Finding the Fourth Proportional to 288,574, 398,230.89 and 161,249.59

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Solution

The fourth proportional to 288,574, 398,230.89 and 161,249.59 is: 222,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,574 : 398,230.89 = 161,249.59 : x
  2. Step 2: Convert to fraction form
    288,574/398,230.89 = 161,249.59/x
  3. Step 3: Cross multiply
    288,574x = 398,230.89 × 161,249.59
  4. Step 4: Simplify right side
    288,574x = 64,214,567,737.84
  5. Step 5: Solve for x
    x = 64,214,567,737.84/288,574
  6. Step 6: Final answer
    x = 222,523.75

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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.