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Finding the Fourth Proportional to 538,205.80, 806,142.30 and 444,893.80

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Solution

The fourth proportional to 538,205.80, 806,142.30 and 444,893.80 is: 666,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,205.80 : 806,142.30 = 444,893.80 : x
  2. Step 2: Convert to fraction form
    538,205.80/806,142.30 = 444,893.80/x
  3. Step 3: Cross multiply
    538,205.80x = 806,142.30 × 444,893.80
  4. Step 4: Simplify right side
    538,205.80x = 358,647,711,187.74
  5. Step 5: Solve for x
    x = 358,647,711,187.74/538,205.80
  6. Step 6: Final answer
    x = 666,376.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.