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Finding the Fourth Proportional to 398,129, 549,418.02 and 219,281

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Solution

The fourth proportional to 398,129, 549,418.02 and 219,281 is: 302,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,129 : 549,418.02 = 219,281 : x
  2. Step 2: Convert to fraction form
    398,129/549,418.02 = 219,281/x
  3. Step 3: Cross multiply
    398,129x = 549,418.02 × 219,281
  4. Step 4: Simplify right side
    398,129x = 120,476,932,843.62
  5. Step 5: Solve for x
    x = 120,476,932,843.62/398,129
  6. Step 6: Final answer
    x = 302,607.78

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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.