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Finding the Fourth Proportional to 538,678.73, 743,378.64 and 293,662.10

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Solution

The fourth proportional to 538,678.73, 743,378.64 and 293,662.10 is: 405,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,678.73 : 743,378.64 = 293,662.10 : x
  2. Step 2: Convert to fraction form
    538,678.73/743,378.64 = 293,662.10/x
  3. Step 3: Cross multiply
    538,678.73x = 743,378.64 × 293,662.10
  4. Step 4: Simplify right side
    538,678.73x = 218,302,132,517.54
  5. Step 5: Solve for x
    x = 218,302,132,517.54/538,678.73
  6. Step 6: Final answer
    x = 405,254.78

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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.