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Finding the Fourth Proportional to 689,297.60, 1,033,978.80 and 215,998.40

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Solution

The fourth proportional to 689,297.60, 1,033,978.80 and 215,998.40 is: 324,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,297.60 : 1,033,978.80 = 215,998.40 : x
  2. Step 2: Convert to fraction form
    689,297.60/1,033,978.80 = 215,998.40/x
  3. Step 3: Cross multiply
    689,297.60x = 1,033,978.80 × 215,998.40
  4. Step 4: Simplify right side
    689,297.60x = 223,337,766,433.92
  5. Step 5: Solve for x
    x = 223,337,766,433.92/689,297.60
  6. Step 6: Final answer
    x = 324,007.75

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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.