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Finding the Fourth Proportional to 538,636.42, 743,313.17 and 293,621.14

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Solution

The fourth proportional to 538,636.42, 743,313.17 and 293,621.14 is: 405,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,636.42 : 743,313.17 = 293,621.14 : x
  2. Step 2: Convert to fraction form
    538,636.42/743,313.17 = 293,621.14/x
  3. Step 3: Cross multiply
    538,636.42x = 743,313.17 × 293,621.14
  4. Step 4: Simplify right side
    538,636.42x = 218,252,455,167.74
  5. Step 5: Solve for x
    x = 218,252,455,167.74/538,636.42
  6. Step 6: Final answer
    x = 405,194.39

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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.