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Finding the Fourth Proportional to 397,801, 548,965.40 and 218,953

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Solution

The fourth proportional to 397,801, 548,965.40 and 218,953 is: 302,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,801 : 548,965.40 = 218,953 : x
  2. Step 2: Convert to fraction form
    397,801/548,965.40 = 218,953/x
  3. Step 3: Cross multiply
    397,801x = 548,965.40 × 218,953
  4. Step 4: Simplify right side
    397,801x = 120,197,621,226.20
  5. Step 5: Solve for x
    x = 120,197,621,226.20/397,801
  6. Step 6: Final answer
    x = 302,155.15

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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.