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Finding the Fourth Proportional to 274,294.17, 378,524.21 and 153,434.88

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Solution

The fourth proportional to 274,294.17, 378,524.21 and 153,434.88 is: 211,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,294.17 : 378,524.21 = 153,434.88 : x
  2. Step 2: Convert to fraction form
    274,294.17/378,524.21 = 153,434.88/x
  3. Step 3: Cross multiply
    274,294.17x = 378,524.21 × 153,434.88
  4. Step 4: Simplify right side
    274,294.17x = 58,078,815,971.27
  5. Step 5: Solve for x
    x = 58,078,815,971.27/274,294.17
  6. Step 6: Final answer
    x = 211,739.16

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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.