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Finding the Fourth Proportional to 421,996.28, 632,895.05 and 122,397.80

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Solution

The fourth proportional to 421,996.28, 632,895.05 and 122,397.80 is: 183,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,996.28 : 632,895.05 = 122,397.80 : x
  2. Step 2: Convert to fraction form
    421,996.28/632,895.05 = 122,397.80/x
  3. Step 3: Cross multiply
    421,996.28x = 632,895.05 × 122,397.80
  4. Step 4: Simplify right side
    421,996.28x = 77,464,957,974.43
  5. Step 5: Solve for x
    x = 77,464,957,974.43/421,996.28
  6. Step 6: Final answer
    x = 183,567.87

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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.