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Finding the Fourth Proportional to 338,086.98, 465,618.78 and 261,323.28

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Solution

The fourth proportional to 338,086.98, 465,618.78 and 261,323.28 is: 359,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,086.98 : 465,618.78 = 261,323.28 : x
  2. Step 2: Convert to fraction form
    338,086.98/465,618.78 = 261,323.28/x
  3. Step 3: Cross multiply
    338,086.98x = 465,618.78 × 261,323.28
  4. Step 4: Simplify right side
    338,086.98x = 121,677,026,819.20
  5. Step 5: Solve for x
    x = 121,677,026,819.20/338,086.98
  6. Step 6: Final answer
    x = 359,898.59

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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.