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Finding the Fourth Proportional to 398,821.61, 550,380.30 and 217,533.48

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Solution

The fourth proportional to 398,821.61, 550,380.30 and 217,533.48 is: 300,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,821.61 : 550,380.30 = 217,533.48 : x
  2. Step 2: Convert to fraction form
    398,821.61/550,380.30 = 217,533.48/x
  3. Step 3: Cross multiply
    398,821.61x = 550,380.30 × 217,533.48
  4. Step 4: Simplify right side
    398,821.61x = 119,726,141,982.44
  5. Step 5: Solve for x
    x = 119,726,141,982.44/398,821.61
  6. Step 6: Final answer
    x = 300,199.74

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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.