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Finding the Fourth Proportional to 279,992.10, 419,988.15 and 185,513.70

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Solution

The fourth proportional to 279,992.10, 419,988.15 and 185,513.70 is: 278,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,992.10 : 419,988.15 = 185,513.70 : x
  2. Step 2: Convert to fraction form
    279,992.10/419,988.15 = 185,513.70/x
  3. Step 3: Cross multiply
    279,992.10x = 419,988.15 × 185,513.70
  4. Step 4: Simplify right side
    279,992.10x = 77,913,555,662.66
  5. Step 5: Solve for x
    x = 77,913,555,662.66/279,992.10
  6. Step 6: Final answer
    x = 278,270.55

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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.