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Finding the Fourth Proportional to 276,886.06, 382,103 and 149,561.76

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Solution

The fourth proportional to 276,886.06, 382,103 and 149,561.76 is: 206,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,886.06 : 382,103 = 149,561.76 : x
  2. Step 2: Convert to fraction form
    276,886.06/382,103 = 149,561.76/x
  3. Step 3: Cross multiply
    276,886.06x = 382,103 × 149,561.76
  4. Step 4: Simplify right side
    276,886.06x = 57,147,997,181.28
  5. Step 5: Solve for x
    x = 57,147,997,181.28/276,886.06
  6. Step 6: Final answer
    x = 206,395.36

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1.5x scale

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.