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Finding the Fourth Proportional to 397,650, 548,757 and 218,802

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Solution

The fourth proportional to 397,650, 548,757 and 218,802 is: 301,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,650 : 548,757 = 218,802 : x
  2. Step 2: Convert to fraction form
    397,650/548,757 = 218,802/x
  3. Step 3: Cross multiply
    397,650x = 548,757 × 218,802
  4. Step 4: Simplify right side
    397,650x = 120,069,129,114
  5. Step 5: Solve for x
    x = 120,069,129,114/397,650
  6. Step 6: Final answer
    x = 301,946.76

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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.