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Finding the Fourth Proportional to 398,126.50, 549,414.57 and 219,278.50

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Solution

The fourth proportional to 398,126.50, 549,414.57 and 219,278.50 is: 302,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,126.50 : 549,414.57 = 219,278.50 : x
  2. Step 2: Convert to fraction form
    398,126.50/549,414.57 = 219,278.50/x
  3. Step 3: Cross multiply
    398,126.50x = 549,414.57 × 219,278.50
  4. Step 4: Simplify right side
    398,126.50x = 120,474,802,787.75
  5. Step 5: Solve for x
    x = 120,474,802,787.75/398,126.50
  6. Step 6: Final answer
    x = 302,604.33

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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.