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Finding the Fourth Proportional to 253,436.88, 380,286.36 and 111,381.83

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Solution

The fourth proportional to 253,436.88, 380,286.36 and 111,381.83 is: 167,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,436.88 : 380,286.36 = 111,381.83 : x
  2. Step 2: Convert to fraction form
    253,436.88/380,286.36 = 111,381.83/x
  3. Step 3: Cross multiply
    253,436.88x = 380,286.36 × 111,381.83
  4. Step 4: Simplify right side
    253,436.88x = 42,356,988,799.41
  5. Step 5: Solve for x
    x = 42,356,988,799.41/253,436.88
  6. Step 6: Final answer
    x = 167,130.33

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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.