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Finding the Fourth Proportional to 702,286.97, 969,149.10 and 379,990

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Solution

The fourth proportional to 702,286.97, 969,149.10 and 379,990 is: 524,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,286.97 : 969,149.10 = 379,990 : x
  2. Step 2: Convert to fraction form
    702,286.97/969,149.10 = 379,990/x
  3. Step 3: Cross multiply
    702,286.97x = 969,149.10 × 379,990
  4. Step 4: Simplify right side
    702,286.97x = 368,266,966,509
  5. Step 5: Solve for x
    x = 368,266,966,509/702,286.97
  6. Step 6: Final answer
    x = 524,382.46

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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.