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Finding the Fourth Proportional to 274,641.08, 378,960.84 and 153,787.46

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Solution

The fourth proportional to 274,641.08, 378,960.84 and 153,787.46 is: 212,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,641.08 : 378,960.84 = 153,787.46 : x
  2. Step 2: Convert to fraction form
    274,641.08/378,960.84 = 153,787.46/x
  3. Step 3: Cross multiply
    274,641.08x = 378,960.84 × 153,787.46
  4. Step 4: Simplify right side
    274,641.08x = 58,279,423,128.26
  5. Step 5: Solve for x
    x = 58,279,423,128.26/274,641.08
  6. Step 6: Final answer
    x = 212,202.14

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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.