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Finding the Fourth Proportional to 276,344, 381,354.72 and 157,112

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Solution

The fourth proportional to 276,344, 381,354.72 and 157,112 is: 216,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,344 : 381,354.72 = 157,112 : x
  2. Step 2: Convert to fraction form
    276,344/381,354.72 = 157,112/x
  3. Step 3: Cross multiply
    276,344x = 381,354.72 × 157,112
  4. Step 4: Simplify right side
    276,344x = 59,915,402,768.64
  5. Step 5: Solve for x
    x = 59,915,402,768.64/276,344
  6. Step 6: Final answer
    x = 216,814.56

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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.