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Finding the Fourth Proportional to 208,554.80, 312,844.41 and 80,471.78

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Solution

The fourth proportional to 208,554.80, 312,844.41 and 80,471.78 is: 120,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,554.80 : 312,844.41 = 80,471.78 : x
  2. Step 2: Convert to fraction form
    208,554.80/312,844.41 = 80,471.78/x
  3. Step 3: Cross multiply
    208,554.80x = 312,844.41 × 80,471.78
  4. Step 4: Simplify right side
    208,554.80x = 25,175,145,665.12
  5. Step 5: Solve for x
    x = 25,175,145,665.12/208,554.80
  6. Step 6: Final answer
    x = 120,712.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.