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Finding the Fourth Proportional to 280,092.49, 419,713.25 and 205,262.19

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Solution

The fourth proportional to 280,092.49, 419,713.25 and 205,262.19 is: 307,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,092.49 : 419,713.25 = 205,262.19 : x
  2. Step 2: Convert to fraction form
    280,092.49/419,713.25 = 205,262.19/x
  3. Step 3: Cross multiply
    280,092.49x = 419,713.25 × 205,262.19
  4. Step 4: Simplify right side
    280,092.49x = 86,151,259,840.71
  5. Step 5: Solve for x
    x = 86,151,259,840.71/280,092.49
  6. Step 6: Final answer
    x = 307,581.47

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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.