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Finding the Fourth Proportional to 305,876, 422,113.76 and 171,737.12

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Solution

The fourth proportional to 305,876, 422,113.76 and 171,737.12 is: 236,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,876 : 422,113.76 = 171,737.12 : x
  2. Step 2: Convert to fraction form
    305,876/422,113.76 = 171,737.12/x
  3. Step 3: Cross multiply
    305,876x = 422,113.76 × 171,737.12
  4. Step 4: Simplify right side
    305,876x = 72,492,601,454.77
  5. Step 5: Solve for x
    x = 72,492,601,454.77/305,876
  6. Step 6: Final answer
    x = 236,999.97

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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.