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Finding the Fourth Proportional to 387,468.56, 580,650.81 and 285,464.37

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Solution

The fourth proportional to 387,468.56, 580,650.81 and 285,464.37 is: 427,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,468.56 : 580,650.81 = 285,464.37 : x
  2. Step 2: Convert to fraction form
    387,468.56/580,650.81 = 285,464.37/x
  3. Step 3: Cross multiply
    387,468.56x = 580,650.81 × 285,464.37
  4. Step 4: Simplify right side
    387,468.56x = 165,755,118,773.59
  5. Step 5: Solve for x
    x = 165,755,118,773.59/387,468.56
  6. Step 6: Final answer
    x = 427,789.85

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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.