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Finding the Fourth Proportional to 276,807.92, 382,002.54 and 169,376

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Solution

The fourth proportional to 276,807.92, 382,002.54 and 169,376 is: 233,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,807.92 : 382,002.54 = 169,376 : x
  2. Step 2: Convert to fraction form
    276,807.92/382,002.54 = 169,376/x
  3. Step 3: Cross multiply
    276,807.92x = 382,002.54 × 169,376
  4. Step 4: Simplify right side
    276,807.92x = 64,702,062,215.04
  5. Step 5: Solve for x
    x = 64,702,062,215.04/276,807.92
  6. Step 6: Final answer
    x = 233,743.54

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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.