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Finding the Fourth Proportional to 471,464.39, 650,327.05 and 287,618.96

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Solution

The fourth proportional to 471,464.39, 650,327.05 and 287,618.96 is: 396,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,464.39 : 650,327.05 = 287,618.96 : x
  2. Step 2: Convert to fraction form
    471,464.39/650,327.05 = 287,618.96/x
  3. Step 3: Cross multiply
    471,464.39x = 650,327.05 × 287,618.96
  4. Step 4: Simplify right side
    471,464.39x = 187,046,389,780.87
  5. Step 5: Solve for x
    x = 187,046,389,780.87/471,464.39
  6. Step 6: Final answer
    x = 396,734.93

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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.