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Finding the Fourth Proportional to 500,896.74, 691,308.36 and 309,971.64

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Solution

The fourth proportional to 500,896.74, 691,308.36 and 309,971.64 is: 427,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,896.74 : 691,308.36 = 309,971.64 : x
  2. Step 2: Convert to fraction form
    500,896.74/691,308.36 = 309,971.64/x
  3. Step 3: Cross multiply
    500,896.74x = 691,308.36 × 309,971.64
  4. Step 4: Simplify right side
    500,896.74x = 214,285,986,094.91
  5. Step 5: Solve for x
    x = 214,285,986,094.91/500,896.74
  6. Step 6: Final answer
    x = 427,804.71

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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.