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Finding the Fourth Proportional to 422,083.99, 633,143.50 and 122,564.57

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Solution

The fourth proportional to 422,083.99, 633,143.50 and 122,564.57 is: 183,851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,083.99 : 633,143.50 = 122,564.57 : x
  2. Step 2: Convert to fraction form
    422,083.99/633,143.50 = 122,564.57/x
  3. Step 3: Cross multiply
    422,083.99x = 633,143.50 × 122,564.57
  4. Step 4: Simplify right side
    422,083.99x = 77,600,957,353.67
  5. Step 5: Solve for x
    x = 77,600,957,353.67/422,083.99
  6. Step 6: Final answer
    x = 183,851.93

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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.