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Finding the Fourth Proportional to 305,356.20, 421,394.10 and 169,399.05

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Solution

The fourth proportional to 305,356.20, 421,394.10 and 169,399.05 is: 233,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,356.20 : 421,394.10 = 169,399.05 : x
  2. Step 2: Convert to fraction form
    305,356.20/421,394.10 = 169,399.05/x
  3. Step 3: Cross multiply
    305,356.20x = 421,394.10 × 169,399.05
  4. Step 4: Simplify right side
    305,356.20x = 71,383,760,215.61
  5. Step 5: Solve for x
    x = 71,383,760,215.61/305,356.20
  6. Step 6: Final answer
    x = 233,772.10

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1.5x scale

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.