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Finding the Fourth Proportional to 281,393, 422,193.18 and 148,267.88

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Solution

The fourth proportional to 281,393, 422,193.18 and 148,267.88 is: 222,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,393 : 422,193.18 = 148,267.88 : x
  2. Step 2: Convert to fraction form
    281,393/422,193.18 = 148,267.88/x
  3. Step 3: Cross multiply
    281,393x = 422,193.18 × 148,267.88
  4. Step 4: Simplify right side
    281,393x = 62,597,687,749.06
  5. Step 5: Solve for x
    x = 62,597,687,749.06/281,393
  6. Step 6: Final answer
    x = 222,456.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.