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Finding the Fourth Proportional to 422,081.57, 582,983.82 and 307,177.95

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Solution

The fourth proportional to 422,081.57, 582,983.82 and 307,177.95 is: 424,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,081.57 : 582,983.82 = 307,177.95 : x
  2. Step 2: Convert to fraction form
    422,081.57/582,983.82 = 307,177.95/x
  3. Step 3: Cross multiply
    422,081.57x = 582,983.82 × 307,177.95
  4. Step 4: Simplify right side
    422,081.57x = 179,079,774,710.77
  5. Step 5: Solve for x
    x = 179,079,774,710.77/422,081.57
  6. Step 6: Final answer
    x = 424,277.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.