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Finding the Fourth Proportional to 427,100.25, 640,407.75 and 174,084.39

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Solution

The fourth proportional to 427,100.25, 640,407.75 and 174,084.39 is: 261,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,100.25 : 640,407.75 = 174,084.39 : x
  2. Step 2: Convert to fraction form
    427,100.25/640,407.75 = 174,084.39/x
  3. Step 3: Cross multiply
    427,100.25x = 640,407.75 × 174,084.39
  4. Step 4: Simplify right side
    427,100.25x = 111,484,992,510.02
  5. Step 5: Solve for x
    x = 111,484,992,510.02/427,100.25
  6. Step 6: Final answer
    x = 261,027.69

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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.