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Finding the Fourth Proportional to 427,101.75, 640,410 and 174,085.89

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Solution

The fourth proportional to 427,101.75, 640,410 and 174,085.89 is: 261,029.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,101.75 : 640,410 = 174,085.89 : x
  2. Step 2: Convert to fraction form
    427,101.75/640,410 = 174,085.89/x
  3. Step 3: Cross multiply
    427,101.75x = 640,410 × 174,085.89
  4. Step 4: Simplify right side
    427,101.75x = 111,486,344,814.90
  5. Step 5: Solve for x
    x = 111,486,344,814.90/427,101.75
  6. Step 6: Final answer
    x = 261,029.94

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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.