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Finding the Fourth Proportional to 397,651, 548,758.38 and 218,803

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Solution

The fourth proportional to 397,651, 548,758.38 and 218,803 is: 301,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,651 : 548,758.38 = 218,803 : x
  2. Step 2: Convert to fraction form
    397,651/548,758.38 = 218,803/x
  3. Step 3: Cross multiply
    397,651x = 548,758.38 × 218,803
  4. Step 4: Simplify right side
    397,651x = 120,069,979,819.14
  5. Step 5: Solve for x
    x = 120,069,979,819.14/397,651
  6. Step 6: Final answer
    x = 301,948.14

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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.