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Finding the Fourth Proportional to 305,518.92, 458,169 and 105,785.72

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Solution

The fourth proportional to 305,518.92, 458,169 and 105,785.72 is: 158,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,518.92 : 458,169 = 105,785.72 : x
  2. Step 2: Convert to fraction form
    305,518.92/458,169 = 105,785.72/x
  3. Step 3: Cross multiply
    305,518.92x = 458,169 × 105,785.72
  4. Step 4: Simplify right side
    305,518.92x = 48,467,737,546.68
  5. Step 5: Solve for x
    x = 48,467,737,546.68/305,518.92
  6. Step 6: Final answer
    x = 158,640.71

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1.5x scale

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.