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Finding the Fourth Proportional to 538,705.47, 743,418.37 and 296,996.61

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Solution

The fourth proportional to 538,705.47, 743,418.37 and 296,996.61 is: 409,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,705.47 : 743,418.37 = 296,996.61 : x
  2. Step 2: Convert to fraction form
    538,705.47/743,418.37 = 296,996.61/x
  3. Step 3: Cross multiply
    538,705.47x = 743,418.37 × 296,996.61
  4. Step 4: Simplify right side
    538,705.47x = 220,792,735,701.73
  5. Step 5: Solve for x
    x = 220,792,735,701.73/538,705.47
  6. Step 6: Final answer
    x = 409,857.98

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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.