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Finding the Fourth Proportional to 276,886.85, 382,103.84 and 149,562.45

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Solution

The fourth proportional to 276,886.85, 382,103.84 and 149,562.45 is: 206,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,886.85 : 382,103.84 = 149,562.45 : x
  2. Step 2: Convert to fraction form
    276,886.85/382,103.84 = 149,562.45/x
  3. Step 3: Cross multiply
    276,886.85x = 382,103.84 × 149,562.45
  4. Step 4: Simplify right side
    276,886.85x = 57,148,386,838.71
  5. Step 5: Solve for x
    x = 57,148,386,838.71/276,886.85
  6. Step 6: Final answer
    x = 206,396.18

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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.