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Finding the Fourth Proportional to 422,648.31, 583,314.48 and 261,555.24

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Solution

The fourth proportional to 422,648.31, 583,314.48 and 261,555.24 is: 360,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,648.31 : 583,314.48 = 261,555.24 : x
  2. Step 2: Convert to fraction form
    422,648.31/583,314.48 = 261,555.24/x
  3. Step 3: Cross multiply
    422,648.31x = 583,314.48 × 261,555.24
  4. Step 4: Simplify right side
    422,648.31x = 152,568,957,504.10
  5. Step 5: Solve for x
    x = 152,568,957,504.10/422,648.31
  6. Step 6: Final answer
    x = 360,983.24

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1.5x scale

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.