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Finding the Fourth Proportional to 398,046.64, 549,279.48 and 219,198.64

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Solution

The fourth proportional to 398,046.64, 549,279.48 and 219,198.64 is: 302,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,046.64 : 549,279.48 = 219,198.64 : x
  2. Step 2: Convert to fraction form
    398,046.64/549,279.48 = 219,198.64/x
  3. Step 3: Cross multiply
    398,046.64x = 549,279.48 × 219,198.64
  4. Step 4: Simplify right side
    398,046.64x = 120,401,314,995.91
  5. Step 5: Solve for x
    x = 120,401,314,995.91/398,046.64
  6. Step 6: Final answer
    x = 302,480.42

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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.