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Finding the Fourth Proportional to 427,221.00, 640,971.77 and 174,713.85

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Solution

The fourth proportional to 427,221.00, 640,971.77 and 174,713.85 is: 262,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,221.00 : 640,971.77 = 174,713.85 : x
  2. Step 2: Convert to fraction form
    427,221.00/640,971.77 = 174,713.85/x
  3. Step 3: Cross multiply
    427,221.00x = 640,971.77 × 174,713.85
  4. Step 4: Simplify right side
    427,221.00x = 111,986,644,640.16
  5. Step 5: Solve for x
    x = 111,986,644,640.16/427,221.00
  6. Step 6: Final answer
    x = 262,128.14

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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.