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Finding the Fourth Proportional to 633,081.37, 873,649.96 and 361,148.78

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Solution

The fourth proportional to 633,081.37, 873,649.96 and 361,148.78 is: 498,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,081.37 : 873,649.96 = 361,148.78 : x
  2. Step 2: Convert to fraction form
    633,081.37/873,649.96 = 361,148.78/x
  3. Step 3: Cross multiply
    633,081.37x = 873,649.96 × 361,148.78
  4. Step 4: Simplify right side
    633,081.37x = 315,517,617,201.05
  5. Step 5: Solve for x
    x = 315,517,617,201.05/633,081.37
  6. Step 6: Final answer
    x = 498,383.99

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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.