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Finding the Fourth Proportional to 268,514.69, 370,540.31 and 147,648.78

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Solution

The fourth proportional to 268,514.69, 370,540.31 and 147,648.78 is: 203,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,514.69 : 370,540.31 = 147,648.78 : x
  2. Step 2: Convert to fraction form
    268,514.69/370,540.31 = 147,648.78/x
  3. Step 3: Cross multiply
    268,514.69x = 370,540.31 × 147,648.78
  4. Step 4: Simplify right side
    268,514.69x = 54,709,823,974.08
  5. Step 5: Solve for x
    x = 54,709,823,974.08/268,514.69
  6. Step 6: Final answer
    x = 203,749.84

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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.