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Finding the Fourth Proportional to 397,712.25, 548,843 and 218,864.25

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Solution

The fourth proportional to 397,712.25, 548,843 and 218,864.25 is: 302,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,712.25 : 548,843 = 218,864.25 : x
  2. Step 2: Convert to fraction form
    397,712.25/548,843 = 218,864.25/x
  3. Step 3: Cross multiply
    397,712.25x = 548,843 × 218,864.25
  4. Step 4: Simplify right side
    397,712.25x = 120,122,111,562.75
  5. Step 5: Solve for x
    x = 120,122,111,562.75/397,712.25
  6. Step 6: Final answer
    x = 302,032.72

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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.