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Finding the Fourth Proportional to 500,919, 691,339.08 and 309,993.90

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Solution

The fourth proportional to 500,919, 691,339.08 and 309,993.90 is: 427,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,919 : 691,339.08 = 309,993.90 : x
  2. Step 2: Convert to fraction form
    500,919/691,339.08 = 309,993.90/x
  3. Step 3: Cross multiply
    500,919x = 691,339.08 × 309,993.90
  4. Step 4: Simplify right side
    500,919x = 214,310,897,631.61
  5. Step 5: Solve for x
    x = 214,310,897,631.61/500,919
  6. Step 6: Final answer
    x = 427,835.43

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1.5x scale

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.