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Finding the Fourth Proportional to 398,414.82, 549,812.46 and 219,566.82

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Solution

The fourth proportional to 398,414.82, 549,812.46 and 219,566.82 is: 303,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,414.82 : 549,812.46 = 219,566.82 : x
  2. Step 2: Convert to fraction form
    398,414.82/549,812.46 = 219,566.82/x
  3. Step 3: Cross multiply
    398,414.82x = 549,812.46 × 219,566.82
  4. Step 4: Simplify right side
    398,414.82x = 120,720,573,438.58
  5. Step 5: Solve for x
    x = 120,720,573,438.58/398,414.82
  6. Step 6: Final answer
    x = 303,002.22

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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.