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Finding the Fourth Proportional to 538,643.43, 743,322.81 and 293,628.15

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Solution

The fourth proportional to 538,643.43, 743,322.81 and 293,628.15 is: 405,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,643.43 : 743,322.81 = 293,628.15 : x
  2. Step 2: Convert to fraction form
    538,643.43/743,322.81 = 293,628.15/x
  3. Step 3: Cross multiply
    538,643.43x = 743,322.81 × 293,628.15
  4. Step 4: Simplify right side
    538,643.43x = 218,260,501,553.10
  5. Step 5: Solve for x
    x = 218,260,501,553.10/538,643.43
  6. Step 6: Final answer
    x = 405,204.05

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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.