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Finding the Fourth Proportional to 422,651.82, 583,319.31 and 261,558.75

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Solution

The fourth proportional to 422,651.82, 583,319.31 and 261,558.75 is: 360,988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,651.82 : 583,319.31 = 261,558.75 : x
  2. Step 2: Convert to fraction form
    422,651.82/583,319.31 = 261,558.75/x
  3. Step 3: Cross multiply
    422,651.82x = 583,319.31 × 261,558.75
  4. Step 4: Simplify right side
    422,651.82x = 152,572,266,657.87
  5. Step 5: Solve for x
    x = 152,572,266,657.87/422,651.82
  6. Step 6: Final answer
    x = 360,988.08

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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.