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Finding the Fourth Proportional to 605,367.50, 905,809.26 and 378,923.90

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Solution

The fourth proportional to 605,367.50, 905,809.26 and 378,923.90 is: 566,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,367.50 : 905,809.26 = 378,923.90 : x
  2. Step 2: Convert to fraction form
    605,367.50/905,809.26 = 378,923.90/x
  3. Step 3: Cross multiply
    605,367.50x = 905,809.26 × 378,923.90
  4. Step 4: Simplify right side
    605,367.50x = 343,232,777,455.31
  5. Step 5: Solve for x
    x = 343,232,777,455.31/605,367.50
  6. Step 6: Final answer
    x = 566,982.50

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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.