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Finding the Fourth Proportional to 427,186.26, 640,817.67 and 123,575.66

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Solution

The fourth proportional to 427,186.26, 640,817.67 and 123,575.66 is: 185,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,186.26 : 640,817.67 = 123,575.66 : x
  2. Step 2: Convert to fraction form
    427,186.26/640,817.67 = 123,575.66/x
  3. Step 3: Cross multiply
    427,186.26x = 640,817.67 × 123,575.66
  4. Step 4: Simplify right side
    427,186.26x = 79,189,463,305.82
  5. Step 5: Solve for x
    x = 79,189,463,305.82/427,186.26
  6. Step 6: Final answer
    x = 185,374.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.