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Finding the Fourth Proportional to 500,893.74, 691,304.22 and 309,968.64

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Solution

The fourth proportional to 500,893.74, 691,304.22 and 309,968.64 is: 427,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,893.74 : 691,304.22 = 309,968.64 : x
  2. Step 2: Convert to fraction form
    500,893.74/691,304.22 = 309,968.64/x
  3. Step 3: Cross multiply
    500,893.74x = 691,304.22 × 309,968.64
  4. Step 4: Simplify right side
    500,893.74x = 214,282,628,899.66
  5. Step 5: Solve for x
    x = 214,282,628,899.66/500,893.74
  6. Step 6: Final answer
    x = 427,800.57

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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.