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Finding the Fourth Proportional to 274,608, 378,964.80 and 155,376

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Solution

The fourth proportional to 274,608, 378,964.80 and 155,376 is: 214,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,608 : 378,964.80 = 155,376 : x
  2. Step 2: Convert to fraction form
    274,608/378,964.80 = 155,376/x
  3. Step 3: Cross multiply
    274,608x = 378,964.80 × 155,376
  4. Step 4: Simplify right side
    274,608x = 58,882,034,764.80
  5. Step 5: Solve for x
    x = 58,882,034,764.80/274,608
  6. Step 6: Final answer
    x = 214,422.14

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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.