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Finding the Fourth Proportional to 288,565.98, 398,239.38 and 161,241.81

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Solution

The fourth proportional to 288,565.98, 398,239.38 and 161,241.81 is: 222,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,565.98 : 398,239.38 = 161,241.81 : x
  2. Step 2: Convert to fraction form
    288,565.98/398,239.38 = 161,241.81/x
  3. Step 3: Cross multiply
    288,565.98x = 398,239.38 × 161,241.81
  4. Step 4: Simplify right side
    288,565.98x = 64,212,838,444.48
  5. Step 5: Solve for x
    x = 64,212,838,444.48/288,565.98
  6. Step 6: Final answer
    x = 222,523.94

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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.