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Finding the Fourth Proportional to 398,414.06, 549,795.37 and 217,122.10

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Solution

The fourth proportional to 398,414.06, 549,795.37 and 217,122.10 is: 299,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,414.06 : 549,795.37 = 217,122.10 : x
  2. Step 2: Convert to fraction form
    398,414.06/549,795.37 = 217,122.10/x
  3. Step 3: Cross multiply
    398,414.06x = 549,795.37 × 217,122.10
  4. Step 4: Simplify right side
    398,414.06x = 119,372,725,304.68
  5. Step 5: Solve for x
    x = 119,372,725,304.68/398,414.06
  6. Step 6: Final answer
    x = 299,619.76

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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.