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Finding the Fourth Proportional to 268,680, 370,780.56 and 149,448

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Solution

The fourth proportional to 268,680, 370,780.56 and 149,448 is: 206,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,680 : 370,780.56 = 149,448 : x
  2. Step 2: Convert to fraction form
    268,680/370,780.56 = 149,448/x
  3. Step 3: Cross multiply
    268,680x = 370,780.56 × 149,448
  4. Step 4: Simplify right side
    268,680x = 55,412,413,130.88
  5. Step 5: Solve for x
    x = 55,412,413,130.88/268,680
  6. Step 6: Final answer
    x = 206,239.44

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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.