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Finding the Fourth Proportional to 398,832.60, 550,390.71 and 217,548.43

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Solution

The fourth proportional to 398,832.60, 550,390.71 and 217,548.43 is: 300,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,832.60 : 550,390.71 = 217,548.43 : x
  2. Step 2: Convert to fraction form
    398,832.60/550,390.71 = 217,548.43/x
  3. Step 3: Cross multiply
    398,832.60x = 550,390.71 × 217,548.43
  4. Step 4: Simplify right side
    398,832.60x = 119,736,634,847.09
  5. Step 5: Solve for x
    x = 119,736,634,847.09/398,832.60
  6. Step 6: Final answer
    x = 300,217.77

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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.