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Finding the Fourth Proportional to 538,409.14, 743,001.39 and 293,393.44

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Solution

The fourth proportional to 538,409.14, 743,001.39 and 293,393.44 is: 404,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,409.14 : 743,001.39 = 293,393.44 : x
  2. Step 2: Convert to fraction form
    538,409.14/743,001.39 = 293,393.44/x
  3. Step 3: Cross multiply
    538,409.14x = 743,001.39 × 293,393.44
  4. Step 4: Simplify right side
    538,409.14x = 217,991,733,736.88
  5. Step 5: Solve for x
    x = 217,991,733,736.88/538,409.14
  6. Step 6: Final answer
    x = 404,881.19

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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.