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Finding the Fourth Proportional to 422,284.68, 632,979.90 and 197,456.22

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Solution

The fourth proportional to 422,284.68, 632,979.90 and 197,456.22 is: 295,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,284.68 : 632,979.90 = 197,456.22 : x
  2. Step 2: Convert to fraction form
    422,284.68/632,979.90 = 197,456.22/x
  3. Step 3: Cross multiply
    422,284.68x = 632,979.90 × 197,456.22
  4. Step 4: Simplify right side
    422,284.68x = 124,985,818,389.98
  5. Step 5: Solve for x
    x = 124,985,818,389.98/422,284.68
  6. Step 6: Final answer
    x = 295,975.26

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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.