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Finding the Fourth Proportional to 276,795.80, 382,006.42 and 169,436.78

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Solution

The fourth proportional to 276,795.80, 382,006.42 and 169,436.78 is: 233,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,795.80 : 382,006.42 = 169,436.78 : x
  2. Step 2: Convert to fraction form
    276,795.80/382,006.42 = 169,436.78/x
  3. Step 3: Cross multiply
    276,795.80x = 382,006.42 × 169,436.78
  4. Step 4: Simplify right side
    276,795.80x = 64,725,937,744.13
  5. Step 5: Solve for x
    x = 64,725,937,744.13/276,795.80
  6. Step 6: Final answer
    x = 233,840.03

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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.