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Finding the Fourth Proportional to 398,832.43, 550,390.47 and 217,548.25

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Solution

The fourth proportional to 398,832.43, 550,390.47 and 217,548.25 is: 300,217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,832.43 : 550,390.47 = 217,548.25 : x
  2. Step 2: Convert to fraction form
    398,832.43/550,390.47 = 217,548.25/x
  3. Step 3: Cross multiply
    398,832.43x = 550,390.47 × 217,548.25
  4. Step 4: Simplify right side
    398,832.43x = 119,736,483,565.18
  5. Step 5: Solve for x
    x = 119,736,483,565.18/398,832.43
  6. Step 6: Final answer
    x = 300,217.52

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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.