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Finding the Fourth Proportional to 305,735.97, 421,926.24 and 169,772.19

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Solution

The fourth proportional to 305,735.97, 421,926.24 and 169,772.19 is: 234,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,735.97 : 421,926.24 = 169,772.19 : x
  2. Step 2: Convert to fraction form
    305,735.97/421,926.24 = 169,772.19/x
  3. Step 3: Cross multiply
    305,735.97x = 421,926.24 × 169,772.19
  4. Step 4: Simplify right side
    305,735.97x = 71,631,341,783.27
  5. Step 5: Solve for x
    x = 71,631,341,783.27/305,735.97
  6. Step 6: Final answer
    x = 234,291.51

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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.