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Finding the Fourth Proportional to 397,845, 549,026.10 and 218,997

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Solution

The fourth proportional to 397,845, 549,026.10 and 218,997 is: 302,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,845 : 549,026.10 = 218,997 : x
  2. Step 2: Convert to fraction form
    397,845/549,026.10 = 218,997/x
  3. Step 3: Cross multiply
    397,845x = 549,026.10 × 218,997
  4. Step 4: Simplify right side
    397,845x = 120,235,068,821.70
  5. Step 5: Solve for x
    x = 120,235,068,821.70/397,845
  6. Step 6: Final answer
    x = 302,215.86

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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.