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Finding the Fourth Proportional to 397,972.67, 549,212.15 and 216,694.54

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Solution

The fourth proportional to 397,972.67, 549,212.15 and 216,694.54 is: 299,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,972.67 : 549,212.15 = 216,694.54 : x
  2. Step 2: Convert to fraction form
    397,972.67/549,212.15 = 216,694.54/x
  3. Step 3: Cross multiply
    397,972.67x = 549,212.15 × 216,694.54
  4. Step 4: Simplify right side
    397,972.67x = 119,011,273,375.37
  5. Step 5: Solve for x
    x = 119,011,273,375.37/397,972.67
  6. Step 6: Final answer
    x = 299,043.83

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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.