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Finding the Fourth Proportional to 427,273.22, 640,909.85 and 111,727.40

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Solution

The fourth proportional to 427,273.22, 640,909.85 and 111,727.40 is: 167,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,273.22 : 640,909.85 = 111,727.40 : x
  2. Step 2: Convert to fraction form
    427,273.22/640,909.85 = 111,727.40/x
  3. Step 3: Cross multiply
    427,273.22x = 640,909.85 × 111,727.40
  4. Step 4: Simplify right side
    427,273.22x = 71,607,187,411.70
  5. Step 5: Solve for x
    x = 71,607,187,411.70/427,273.22
  6. Step 6: Final answer
    x = 167,591.10

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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.