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Finding the Fourth Proportional to 288,556.78, 398,200.89 and 161,233.42

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Solution

The fourth proportional to 288,556.78, 398,200.89 and 161,233.42 is: 222,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,556.78 : 398,200.89 = 161,233.42 : x
  2. Step 2: Convert to fraction form
    288,556.78/398,200.89 = 161,233.42/x
  3. Step 3: Cross multiply
    288,556.78x = 398,200.89 × 161,233.42
  4. Step 4: Simplify right side
    288,556.78x = 64,203,291,341.74
  5. Step 5: Solve for x
    x = 64,203,291,341.74/288,556.78
  6. Step 6: Final answer
    x = 222,497.95

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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.