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Finding the Fourth Proportional to 397,846.50, 549,028.17 and 218,998.50

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Solution

The fourth proportional to 397,846.50, 549,028.17 and 218,998.50 is: 302,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,846.50 : 549,028.17 = 218,998.50 : x
  2. Step 2: Convert to fraction form
    397,846.50/549,028.17 = 218,998.50/x
  3. Step 3: Cross multiply
    397,846.50x = 549,028.17 × 218,998.50
  4. Step 4: Simplify right side
    397,846.50x = 120,236,345,687.75
  5. Step 5: Solve for x
    x = 120,236,345,687.75/397,846.50
  6. Step 6: Final answer
    x = 302,217.93

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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.