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Finding the Fourth Proportional to 274,343.95, 378,724.08 and 206,386.80

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Solution

The fourth proportional to 274,343.95, 378,724.08 and 206,386.80 is: 284,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,343.95 : 378,724.08 = 206,386.80 : x
  2. Step 2: Convert to fraction form
    274,343.95/378,724.08 = 206,386.80/x
  3. Step 3: Cross multiply
    274,343.95x = 378,724.08 × 206,386.80
  4. Step 4: Simplify right side
    274,343.95x = 78,163,649,060.52
  5. Step 5: Solve for x
    x = 78,163,649,060.52/274,343.95
  6. Step 6: Final answer
    x = 284,911.15

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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.