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Finding the Fourth Proportional to 276,956.48, 382,199.46 and 149,631.68

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Solution

The fourth proportional to 276,956.48, 382,199.46 and 149,631.68 is: 206,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,956.48 : 382,199.46 = 149,631.68 : x
  2. Step 2: Convert to fraction form
    276,956.48/382,199.46 = 149,631.68/x
  3. Step 3: Cross multiply
    276,956.48x = 382,199.46 × 149,631.68
  4. Step 4: Simplify right side
    276,956.48x = 57,189,147,294.89
  5. Step 5: Solve for x
    x = 57,189,147,294.89/276,956.48
  6. Step 6: Final answer
    x = 206,491.46

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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.