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Finding the Fourth Proportional to 305,769.92, 421,916.80 and 171,608

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Solution

The fourth proportional to 305,769.92, 421,916.80 and 171,608 is: 236,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,769.92 : 421,916.80 = 171,608 : x
  2. Step 2: Convert to fraction form
    305,769.92/421,916.80 = 171,608/x
  3. Step 3: Cross multiply
    305,769.92x = 421,916.80 × 171,608
  4. Step 4: Simplify right side
    305,769.92x = 72,404,298,214.40
  5. Step 5: Solve for x
    x = 72,404,298,214.40/305,769.92
  6. Step 6: Final answer
    x = 236,793.40

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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.