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Finding the Fourth Proportional to 305,193.25, 421,171.75 and 169,232.93

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Solution

The fourth proportional to 305,193.25, 421,171.75 and 169,232.93 is: 233,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,193.25 : 421,171.75 = 169,232.93 : x
  2. Step 2: Convert to fraction form
    305,193.25/421,171.75 = 169,232.93/x
  3. Step 3: Cross multiply
    305,193.25x = 421,171.75 × 169,232.93
  4. Step 4: Simplify right side
    305,193.25x = 71,276,128,970.80
  5. Step 5: Solve for x
    x = 71,276,128,970.80/305,193.25
  6. Step 6: Final answer
    x = 233,544.25

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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.