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Finding the Fourth Proportional to 398,822.80, 598,234.20 and 266,112.40

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Solution

The fourth proportional to 398,822.80, 598,234.20 and 266,112.40 is: 399,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,822.80 : 598,234.20 = 266,112.40 : x
  2. Step 2: Convert to fraction form
    398,822.80/598,234.20 = 266,112.40/x
  3. Step 3: Cross multiply
    398,822.80x = 598,234.20 × 266,112.40
  4. Step 4: Simplify right side
    398,822.80x = 159,197,538,724.08
  5. Step 5: Solve for x
    x = 159,197,538,724.08/398,822.80
  6. Step 6: Final answer
    x = 399,168.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.