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Finding the Fourth Proportional to 274,266.48, 378,522.80 and 153,414.48

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Solution

The fourth proportional to 274,266.48, 378,522.80 and 153,414.48 is: 211,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,266.48 : 378,522.80 = 153,414.48 : x
  2. Step 2: Convert to fraction form
    274,266.48/378,522.80 = 153,414.48/x
  3. Step 3: Cross multiply
    274,266.48x = 378,522.80 × 153,414.48
  4. Step 4: Simplify right side
    274,266.48x = 58,070,878,530.14
  5. Step 5: Solve for x
    x = 58,070,878,530.14/274,266.48
  6. Step 6: Final answer
    x = 211,731.59

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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.