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Finding the Fourth Proportional to 305,765.92, 421,911.28 and 171,604

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Solution

The fourth proportional to 305,765.92, 421,911.28 and 171,604 is: 236,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,765.92 : 421,911.28 = 171,604 : x
  2. Step 2: Convert to fraction form
    305,765.92/421,911.28 = 171,604/x
  3. Step 3: Cross multiply
    305,765.92x = 421,911.28 × 171,604
  4. Step 4: Simplify right side
    305,765.92x = 72,401,663,293.12
  5. Step 5: Solve for x
    x = 72,401,663,293.12/305,765.92
  6. Step 6: Final answer
    x = 236,787.88

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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.