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Finding the Fourth Proportional to 312,220.53, 431,049.98 and 204,978.56

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Solution

The fourth proportional to 312,220.53, 431,049.98 and 204,978.56 is: 282,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,220.53 : 431,049.98 = 204,978.56 : x
  2. Step 2: Convert to fraction form
    312,220.53/431,049.98 = 204,978.56/x
  3. Step 3: Cross multiply
    312,220.53x = 431,049.98 × 204,978.56
  4. Step 4: Simplify right side
    312,220.53x = 88,356,002,545.63
  5. Step 5: Solve for x
    x = 88,356,002,545.63/312,220.53
  6. Step 6: Final answer
    x = 282,992.29

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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.