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Finding the Fourth Proportional to 305,224.92, 421,212.78 and 169,250.94

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Solution

The fourth proportional to 305,224.92, 421,212.78 and 169,250.94 is: 233,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,224.92 : 421,212.78 = 169,250.94 : x
  2. Step 2: Convert to fraction form
    305,224.92/421,212.78 = 169,250.94/x
  3. Step 3: Cross multiply
    305,224.92x = 421,212.78 × 169,250.94
  4. Step 4: Simplify right side
    305,224.92x = 71,290,658,955.01
  5. Step 5: Solve for x
    x = 71,290,658,955.01/305,224.92
  6. Step 6: Final answer
    x = 233,567.62

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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.