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Finding the Fourth Proportional to 500,883.76, 691,290.44 and 309,958.64

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Solution

The fourth proportional to 500,883.76, 691,290.44 and 309,958.64 is: 427,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,883.76 : 691,290.44 = 309,958.64 : x
  2. Step 2: Convert to fraction form
    500,883.76/691,290.44 = 309,958.64/x
  3. Step 3: Cross multiply
    500,883.76x = 691,290.44 × 309,958.64
  4. Step 4: Simplify right side
    500,883.76x = 214,271,444,627.40
  5. Step 5: Solve for x
    x = 214,271,444,627.40/500,883.76
  6. Step 6: Final answer
    x = 427,786.77

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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.