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Finding the Fourth Proportional to 741,338, 1,112,016.72 and 242,702

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Solution

The fourth proportional to 741,338, 1,112,016.72 and 242,702 is: 364,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,338 : 1,112,016.72 = 242,702 : x
  2. Step 2: Convert to fraction form
    741,338/1,112,016.72 = 242,702/x
  3. Step 3: Cross multiply
    741,338x = 1,112,016.72 × 242,702
  4. Step 4: Simplify right side
    741,338x = 269,888,681,977.44
  5. Step 5: Solve for x
    x = 269,888,681,977.44/741,338
  6. Step 6: Final answer
    x = 364,056.18

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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.