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Finding the Fourth Proportional to 843,759, 1,265,375.97 and 282,662.28

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Solution

The fourth proportional to 843,759, 1,265,375.97 and 282,662.28 is: 423,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,759 : 1,265,375.97 = 282,662.28 : x
  2. Step 2: Convert to fraction form
    843,759/1,265,375.97 = 282,662.28/x
  3. Step 3: Cross multiply
    843,759x = 1,265,375.97 × 282,662.28
  4. Step 4: Simplify right side
    843,759x = 357,674,056,737.41
  5. Step 5: Solve for x
    x = 357,674,056,737.41/843,759
  6. Step 6: Final answer
    x = 423,905.47

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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.