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Finding the Fourth Proportional to 421,643.73, 632,474.82 and 169,043.19

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Solution

The fourth proportional to 421,643.73, 632,474.82 and 169,043.19 is: 253,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,643.73 : 632,474.82 = 169,043.19 : x
  2. Step 2: Convert to fraction form
    421,643.73/632,474.82 = 169,043.19/x
  3. Step 3: Cross multiply
    421,643.73x = 632,474.82 × 169,043.19
  4. Step 4: Simplify right side
    421,643.73x = 106,915,561,167.48
  5. Step 5: Solve for x
    x = 106,915,561,167.48/421,643.73
  6. Step 6: Final answer
    x = 253,568.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.