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Finding the Fourth Proportional to 276,044.78, 380,932.98 and 155,191.16

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Solution

The fourth proportional to 276,044.78, 380,932.98 and 155,191.16 is: 214,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,044.78 : 380,932.98 = 155,191.16 : x
  2. Step 2: Convert to fraction form
    276,044.78/380,932.98 = 155,191.16/x
  3. Step 3: Cross multiply
    276,044.78x = 380,932.98 × 155,191.16
  4. Step 4: Simplify right side
    276,044.78x = 59,117,431,048.46
  5. Step 5: Solve for x
    x = 59,117,431,048.46/276,044.78
  6. Step 6: Final answer
    x = 214,158.84

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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.