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Finding the Fourth Proportional to 643,234.78, 964,716.72 and 414,846.28

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Solution

The fourth proportional to 643,234.78, 964,716.72 and 414,846.28 is: 622,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,234.78 : 964,716.72 = 414,846.28 : x
  2. Step 2: Convert to fraction form
    643,234.78/964,716.72 = 414,846.28/x
  3. Step 3: Cross multiply
    643,234.78x = 964,716.72 × 414,846.28
  4. Step 4: Simplify right side
    643,234.78x = 400,209,142,545.80
  5. Step 5: Solve for x
    x = 400,209,142,545.80/643,234.78
  6. Step 6: Final answer
    x = 622,182.06

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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.