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Finding the Fourth Proportional to 702,395.25, 969,305.42 and 380,105.31

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Solution

The fourth proportional to 702,395.25, 969,305.42 and 380,105.31 is: 524,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,395.25 : 969,305.42 = 380,105.31 : x
  2. Step 2: Convert to fraction form
    702,395.25/969,305.42 = 380,105.31/x
  3. Step 3: Cross multiply
    702,395.25x = 969,305.42 × 380,105.31
  4. Step 4: Simplify right side
    702,395.25x = 368,438,135,253.25
  5. Step 5: Solve for x
    x = 368,438,135,253.25/702,395.25
  6. Step 6: Final answer
    x = 524,545.31

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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.