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Finding the Fourth Proportional to 422,362.57, 633,477.76 and 138,050.95

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Solution

The fourth proportional to 422,362.57, 633,477.76 and 138,050.95 is: 207,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,362.57 : 633,477.76 = 138,050.95 : x
  2. Step 2: Convert to fraction form
    422,362.57/633,477.76 = 138,050.95/x
  3. Step 3: Cross multiply
    422,362.57x = 633,477.76 × 138,050.95
  4. Step 4: Simplify right side
    422,362.57x = 87,452,206,571.87
  5. Step 5: Solve for x
    x = 87,452,206,571.87/422,362.57
  6. Step 6: Final answer
    x = 207,054.82

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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.