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Finding the Fourth Proportional to 554,065.82, 765,901.97 and 494,229.50

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Solution

The fourth proportional to 554,065.82, 765,901.97 and 494,229.50 is: 683,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,065.82 : 765,901.97 = 494,229.50 : x
  2. Step 2: Convert to fraction form
    554,065.82/765,901.97 = 494,229.50/x
  3. Step 3: Cross multiply
    554,065.82x = 765,901.97 × 494,229.50
  4. Step 4: Simplify right side
    554,065.82x = 378,531,347,682.12
  5. Step 5: Solve for x
    x = 378,531,347,682.12/554,065.82
  6. Step 6: Final answer
    x = 683,188.41

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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.