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Finding the Fourth Proportional to 538,682.86, 743,387.37 and 296,974.11

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Solution

The fourth proportional to 538,682.86, 743,387.37 and 296,974.11 is: 409,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,682.86 : 743,387.37 = 296,974.11 : x
  2. Step 2: Convert to fraction form
    538,682.86/743,387.37 = 296,974.11/x
  3. Step 3: Cross multiply
    538,682.86x = 743,387.37 × 296,974.11
  4. Step 4: Simplify right side
    538,682.86x = 220,766,802,590.99
  5. Step 5: Solve for x
    x = 220,766,802,590.99/538,682.86
  6. Step 6: Final answer
    x = 409,827.04

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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.