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Finding the Fourth Proportional to 538,364.83, 807,687.43 and 201,431.83

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Solution

The fourth proportional to 538,364.83, 807,687.43 and 201,431.83 is: 302,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,364.83 : 807,687.43 = 201,431.83 : x
  2. Step 2: Convert to fraction form
    538,364.83/807,687.43 = 201,431.83/x
  3. Step 3: Cross multiply
    538,364.83x = 807,687.43 × 201,431.83
  4. Step 4: Simplify right side
    538,364.83x = 162,693,957,092.90
  5. Step 5: Solve for x
    x = 162,693,957,092.90/538,364.83
  6. Step 6: Final answer
    x = 302,200.20

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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.