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Finding the Fourth Proportional to 280,114, 420,196.62 and 111,593.48

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Solution

The fourth proportional to 280,114, 420,196.62 and 111,593.48 is: 167,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,114 : 420,196.62 = 111,593.48 : x
  2. Step 2: Convert to fraction form
    280,114/420,196.62 = 111,593.48/x
  3. Step 3: Cross multiply
    280,114x = 420,196.62 × 111,593.48
  4. Step 4: Simplify right side
    280,114x = 46,891,203,110.04
  5. Step 5: Solve for x
    x = 46,891,203,110.04/280,114
  6. Step 6: Final answer
    x = 167,400.43

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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.