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Finding the Fourth Proportional to 245,296.80, 338,569.20 and 149,883.84

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Solution

The fourth proportional to 245,296.80, 338,569.20 and 149,883.84 is: 206,876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,296.80 : 338,569.20 = 149,883.84 : x
  2. Step 2: Convert to fraction form
    245,296.80/338,569.20 = 149,883.84/x
  3. Step 3: Cross multiply
    245,296.80x = 338,569.20 × 149,883.84
  4. Step 4: Simplify right side
    245,296.80x = 50,746,051,801.73
  5. Step 5: Solve for x
    x = 50,746,051,801.73/245,296.80
  6. Step 6: Final answer
    x = 206,876.13

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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.