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Finding the Fourth Proportional to 280,100, 386,538 and 179,504.48

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Solution

The fourth proportional to 280,100, 386,538 and 179,504.48 is: 247,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,100 : 386,538 = 179,504.48 : x
  2. Step 2: Convert to fraction form
    280,100/386,538 = 179,504.48/x
  3. Step 3: Cross multiply
    280,100x = 386,538 × 179,504.48
  4. Step 4: Simplify right side
    280,100x = 69,385,302,690.24
  5. Step 5: Solve for x
    x = 69,385,302,690.24/280,100
  6. Step 6: Final answer
    x = 247,716.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.