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Finding the Fourth Proportional to 276,812.95, 382,001.87 and 149,488.54

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Solution

The fourth proportional to 276,812.95, 382,001.87 and 149,488.54 is: 206,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,812.95 : 382,001.87 = 149,488.54 : x
  2. Step 2: Convert to fraction form
    276,812.95/382,001.87 = 149,488.54/x
  3. Step 3: Cross multiply
    276,812.95x = 382,001.87 × 149,488.54
  4. Step 4: Simplify right side
    276,812.95x = 57,104,901,823.57
  5. Step 5: Solve for x
    x = 57,104,901,823.57/276,812.95
  6. Step 6: Final answer
    x = 206,294.18

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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.