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Finding the Fourth Proportional to 427,033.68, 640,778.94 and 277,238.76

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Solution

The fourth proportional to 427,033.68, 640,778.94 and 277,238.76 is: 416,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,033.68 : 640,778.94 = 277,238.76 : x
  2. Step 2: Convert to fraction form
    427,033.68/640,778.94 = 277,238.76/x
  3. Step 3: Cross multiply
    427,033.68x = 640,778.94 × 277,238.76
  4. Step 4: Simplify right side
    427,033.68x = 177,648,758,759.71
  5. Step 5: Solve for x
    x = 177,648,758,759.71/427,033.68
  6. Step 6: Final answer
    x = 416,006.43

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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.