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Finding the Fourth Proportional to 276,592.86, 381,734.51 and 155,757.78

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Solution

The fourth proportional to 276,592.86, 381,734.51 and 155,757.78 is: 214,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,592.86 : 381,734.51 = 155,757.78 : x
  2. Step 2: Convert to fraction form
    276,592.86/381,734.51 = 155,757.78/x
  3. Step 3: Cross multiply
    276,592.86x = 381,734.51 × 155,757.78
  4. Step 4: Simplify right side
    276,592.86x = 59,458,119,048.20
  5. Step 5: Solve for x
    x = 59,458,119,048.20/276,592.86
  6. Step 6: Final answer
    x = 214,966.21

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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.