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Finding the Fourth Proportional to 274,644.83, 378,966.01 and 153,791.21

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Solution

The fourth proportional to 274,644.83, 378,966.01 and 153,791.21 is: 212,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,644.83 : 378,966.01 = 153,791.21 : x
  2. Step 2: Convert to fraction form
    274,644.83/378,966.01 = 153,791.21/x
  3. Step 3: Cross multiply
    274,644.83x = 378,966.01 × 153,791.21
  4. Step 4: Simplify right side
    274,644.83x = 58,281,641,226.77
  5. Step 5: Solve for x
    x = 58,281,641,226.77/274,644.83
  6. Step 6: Final answer
    x = 212,207.31

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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.