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Finding the Fourth Proportional to 306,085.38, 458,865.11 and 106,379.82

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Solution

The fourth proportional to 306,085.38, 458,865.11 and 106,379.82 is: 159,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,085.38 : 458,865.11 = 106,379.82 : x
  2. Step 2: Convert to fraction form
    306,085.38/458,865.11 = 106,379.82/x
  3. Step 3: Cross multiply
    306,085.38x = 458,865.11 × 106,379.82
  4. Step 4: Simplify right side
    306,085.38x = 48,813,987,806.08
  5. Step 5: Solve for x
    x = 48,813,987,806.08/306,085.38
  6. Step 6: Final answer
    x = 159,478.34

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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.