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Finding the Fourth Proportional to 427,198.26, 640,294.38 and 174,320.94

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Solution

The fourth proportional to 427,198.26, 640,294.38 and 174,320.94 is: 261,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,198.26 : 640,294.38 = 174,320.94 : x
  2. Step 2: Convert to fraction form
    427,198.26/640,294.38 = 174,320.94/x
  3. Step 3: Cross multiply
    427,198.26x = 640,294.38 × 174,320.94
  4. Step 4: Simplify right side
    427,198.26x = 111,616,718,198.32
  5. Step 5: Solve for x
    x = 111,616,718,198.32/427,198.26
  6. Step 6: Final answer
    x = 261,276.15

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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.