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Finding the Fourth Proportional to 305,513.28, 421,627.68 and 171,385.92

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Solution

The fourth proportional to 305,513.28, 421,627.68 and 171,385.92 is: 236,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,513.28 : 421,627.68 = 171,385.92 : x
  2. Step 2: Convert to fraction form
    305,513.28/421,627.68 = 171,385.92/x
  3. Step 3: Cross multiply
    305,513.28x = 421,627.68 × 171,385.92
  4. Step 4: Simplify right side
    305,513.28x = 72,261,047,834.27
  5. Step 5: Solve for x
    x = 72,261,047,834.27/305,513.28
  6. Step 6: Final answer
    x = 236,523.43

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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.