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Finding the Fourth Proportional to 288,679.78, 398,367.40 and 161,357.50

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Solution

The fourth proportional to 288,679.78, 398,367.40 and 161,357.50 is: 222,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,679.78 : 398,367.40 = 161,357.50 : x
  2. Step 2: Convert to fraction form
    288,679.78/398,367.40 = 161,357.50/x
  3. Step 3: Cross multiply
    288,679.78x = 398,367.40 × 161,357.50
  4. Step 4: Simplify right side
    288,679.78x = 64,279,564,946.88
  5. Step 5: Solve for x
    x = 64,279,564,946.88/288,679.78
  6. Step 6: Final answer
    x = 222,667.37

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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.