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Finding the Fourth Proportional to 276,880.29, 382,094.95 and 149,555.89

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Solution

The fourth proportional to 276,880.29, 382,094.95 and 149,555.89 is: 206,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,880.29 : 382,094.95 = 149,555.89 : x
  2. Step 2: Convert to fraction form
    276,880.29/382,094.95 = 149,555.89/x
  3. Step 3: Cross multiply
    276,880.29x = 382,094.95 × 149,555.89
  4. Step 4: Simplify right side
    276,880.29x = 57,144,548,546.62
  5. Step 5: Solve for x
    x = 57,144,548,546.62/276,880.29
  6. Step 6: Final answer
    x = 206,387.20

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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.