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Finding the Fourth Proportional to 288,585.22, 398,239.96 and 161,261.86

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Solution

The fourth proportional to 288,585.22, 398,239.96 and 161,261.86 is: 222,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,585.22 : 398,239.96 = 161,261.86 : x
  2. Step 2: Convert to fraction form
    288,585.22/398,239.96 = 161,261.86/x
  3. Step 3: Cross multiply
    288,585.22x = 398,239.96 × 161,261.86
  4. Step 4: Simplify right side
    288,585.22x = 64,220,916,675.93
  5. Step 5: Solve for x
    x = 64,220,916,675.93/288,585.22
  6. Step 6: Final answer
    x = 222,537.10

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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.