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Finding the Fourth Proportional to 427,151.80, 640,727.70 and 111,640.60

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Solution

The fourth proportional to 427,151.80, 640,727.70 and 111,640.60 is: 167,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,151.80 : 640,727.70 = 111,640.60 : x
  2. Step 2: Convert to fraction form
    427,151.80/640,727.70 = 111,640.60/x
  3. Step 3: Cross multiply
    427,151.80x = 640,727.70 × 111,640.60
  4. Step 4: Simplify right side
    427,151.80x = 71,531,224,864.62
  5. Step 5: Solve for x
    x = 71,531,224,864.62/427,151.80
  6. Step 6: Final answer
    x = 167,460.90

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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.