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Finding the Fourth Proportional to 605,367, 905,808.51 and 378,923.40

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Solution

The fourth proportional to 605,367, 905,808.51 and 378,923.40 is: 566,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,367 : 905,808.51 = 378,923.40 : x
  2. Step 2: Convert to fraction form
    605,367/905,808.51 = 378,923.40/x
  3. Step 3: Cross multiply
    605,367x = 905,808.51 × 378,923.40
  4. Step 4: Simplify right side
    605,367x = 343,232,040,358.13
  5. Step 5: Solve for x
    x = 343,232,040,358.13/605,367
  6. Step 6: Final answer
    x = 566,981.75

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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.