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Finding the Fourth Proportional to 538,341.18, 806,182.20 and 401,235.54

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Solution

The fourth proportional to 538,341.18, 806,182.20 and 401,235.54 is: 600,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,341.18 : 806,182.20 = 401,235.54 : x
  2. Step 2: Convert to fraction form
    538,341.18/806,182.20 = 401,235.54/x
  3. Step 3: Cross multiply
    538,341.18x = 806,182.20 × 401,235.54
  4. Step 4: Simplify right side
    538,341.18x = 323,468,950,355.39
  5. Step 5: Solve for x
    x = 323,468,950,355.39/538,341.18
  6. Step 6: Final answer
    x = 600,862.36

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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.