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Finding the Fourth Proportional to 422,010.90, 632,916.99 and 122,412.42

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Solution

The fourth proportional to 422,010.90, 632,916.99 and 122,412.42 is: 183,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,010.90 : 632,916.99 = 122,412.42 : x
  2. Step 2: Convert to fraction form
    422,010.90/632,916.99 = 122,412.42/x
  3. Step 3: Cross multiply
    422,010.90x = 632,916.99 × 122,412.42
  4. Step 4: Simplify right side
    422,010.90x = 77,476,900,405.02
  5. Step 5: Solve for x
    x = 77,476,900,405.02/422,010.90
  6. Step 6: Final answer
    x = 183,589.81

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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.