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Finding the Fourth Proportional to 288,327.83, 394,434.51 and 287,113.42

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Solution

The fourth proportional to 288,327.83, 394,434.51 and 287,113.42 is: 392,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,327.83 : 394,434.51 = 287,113.42 : x
  2. Step 2: Convert to fraction form
    288,327.83/394,434.51 = 287,113.42/x
  3. Step 3: Cross multiply
    288,327.83x = 394,434.51 × 287,113.42
  4. Step 4: Simplify right side
    288,327.83x = 113,247,441,132.12
  5. Step 5: Solve for x
    x = 113,247,441,132.12/288,327.83
  6. Step 6: Final answer
    x = 392,773.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.