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Finding the Fourth Proportional to 538,577.40, 743,203 and 296,846.66

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Solution

The fourth proportional to 538,577.40, 743,203 and 296,846.66 is: 409,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,577.40 : 743,203 = 296,846.66 : x
  2. Step 2: Convert to fraction form
    538,577.40/743,203 = 296,846.66/x
  3. Step 3: Cross multiply
    538,577.40x = 743,203 × 296,846.66
  4. Step 4: Simplify right side
    538,577.40x = 220,617,328,251.98
  5. Step 5: Solve for x
    x = 220,617,328,251.98/538,577.40
  6. Step 6: Final answer
    x = 409,629.75

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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.