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Finding the Fourth Proportional to 398,394.44, 549,784.32 and 219,546.44

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Solution

The fourth proportional to 398,394.44, 549,784.32 and 219,546.44 is: 302,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,394.44 : 549,784.32 = 219,546.44 : x
  2. Step 2: Convert to fraction form
    398,394.44/549,784.32 = 219,546.44/x
  3. Step 3: Cross multiply
    398,394.44x = 549,784.32 × 219,546.44
  4. Step 4: Simplify right side
    398,394.44x = 120,703,190,223.82
  5. Step 5: Solve for x
    x = 120,703,190,223.82/398,394.44
  6. Step 6: Final answer
    x = 302,974.08

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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.