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Finding the Fourth Proportional to 500,928, 691,351.50 and 310,002.90

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Solution

The fourth proportional to 500,928, 691,351.50 and 310,002.90 is: 427,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,928 : 691,351.50 = 310,002.90 : x
  2. Step 2: Convert to fraction form
    500,928/691,351.50 = 310,002.90/x
  3. Step 3: Cross multiply
    500,928x = 691,351.50 × 310,002.90
  4. Step 4: Simplify right side
    500,928x = 214,320,969,919.35
  5. Step 5: Solve for x
    x = 214,320,969,919.35/500,928
  6. Step 6: Final answer
    x = 427,847.85

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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.