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Finding the Fourth Proportional to 274,294.42, 378,524.55 and 153,435.13

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Solution

The fourth proportional to 274,294.42, 378,524.55 and 153,435.13 is: 211,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,294.42 : 378,524.55 = 153,435.13 : x
  2. Step 2: Convert to fraction form
    274,294.42/378,524.55 = 153,435.13/x
  3. Step 3: Cross multiply
    274,294.42x = 378,524.55 × 153,435.13
  4. Step 4: Simplify right side
    274,294.42x = 58,078,963,537.44
  5. Step 5: Solve for x
    x = 58,078,963,537.44/274,294.42
  6. Step 6: Final answer
    x = 211,739.50

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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.