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Finding the Fourth Proportional to 274,506.90, 378,801.93 and 153,627.78

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Solution

The fourth proportional to 274,506.90, 378,801.93 and 153,627.78 is: 211,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,506.90 : 378,801.93 = 153,627.78 : x
  2. Step 2: Convert to fraction form
    274,506.90/378,801.93 = 153,627.78/x
  3. Step 3: Cross multiply
    274,506.90x = 378,801.93 × 153,627.78
  4. Step 4: Simplify right side
    274,506.90x = 58,194,499,565.62
  5. Step 5: Solve for x
    x = 58,194,499,565.62/274,506.90
  6. Step 6: Final answer
    x = 211,996.49

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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.