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Finding the Fourth Proportional to 288,578.52, 398,237.38 and 161,254.11

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Solution

The fourth proportional to 288,578.52, 398,237.38 and 161,254.11 is: 222,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,578.52 : 398,237.38 = 161,254.11 : x
  2. Step 2: Convert to fraction form
    288,578.52/398,237.38 = 161,254.11/x
  3. Step 3: Cross multiply
    288,578.52x = 398,237.38 × 161,254.11
  4. Step 4: Simplify right side
    288,578.52x = 64,217,415,370.89
  5. Step 5: Solve for x
    x = 64,217,415,370.89/288,578.52
  6. Step 6: Final answer
    x = 222,530.13

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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.