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Finding the Fourth Proportional to 398,134, 549,424.92 and 219,286

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Solution

The fourth proportional to 398,134, 549,424.92 and 219,286 is: 302,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,134 : 549,424.92 = 219,286 : x
  2. Step 2: Convert to fraction form
    398,134/549,424.92 = 219,286/x
  3. Step 3: Cross multiply
    398,134x = 549,424.92 × 219,286
  4. Step 4: Simplify right side
    398,134x = 120,481,193,007.12
  5. Step 5: Solve for x
    x = 120,481,193,007.12/398,134
  6. Step 6: Final answer
    x = 302,614.68

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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.