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Finding the Fourth Proportional to 397,712.75, 548,843.69 and 218,864.75

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Solution

The fourth proportional to 397,712.75, 548,843.69 and 218,864.75 is: 302,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,712.75 : 548,843.69 = 218,864.75 : x
  2. Step 2: Convert to fraction form
    397,712.75/548,843.69 = 218,864.75/x
  3. Step 3: Cross multiply
    397,712.75x = 548,843.69 × 218,864.75
  4. Step 4: Simplify right side
    397,712.75x = 120,122,537,000.93
  5. Step 5: Solve for x
    x = 120,122,537,000.93/397,712.75
  6. Step 6: Final answer
    x = 302,033.41

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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.