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Finding the Fourth Proportional to 538,074.12, 806,830.94 and 200,837.46

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Solution

The fourth proportional to 538,074.12, 806,830.94 and 200,837.46 is: 301,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,074.12 : 806,830.94 = 200,837.46 : x
  2. Step 2: Convert to fraction form
    538,074.12/806,830.94 = 200,837.46/x
  3. Step 3: Cross multiply
    538,074.12x = 806,830.94 × 200,837.46
  4. Step 4: Simplify right side
    538,074.12x = 162,041,876,639.01
  5. Step 5: Solve for x
    x = 162,041,876,639.01/538,074.12
  6. Step 6: Final answer
    x = 301,151.59

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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.