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Finding the Fourth Proportional to 276,096.16, 381,010.80 and 156,864.16

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Solution

The fourth proportional to 276,096.16, 381,010.80 and 156,864.16 is: 216,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,096.16 : 381,010.80 = 156,864.16 : x
  2. Step 2: Convert to fraction form
    276,096.16/381,010.80 = 156,864.16/x
  3. Step 3: Cross multiply
    276,096.16x = 381,010.80 × 156,864.16
  4. Step 4: Simplify right side
    276,096.16x = 59,766,939,092.93
  5. Step 5: Solve for x
    x = 59,766,939,092.93/276,096.16
  6. Step 6: Final answer
    x = 216,471.46

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1.5x scale

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.