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Finding the Fourth Proportional to 422,650.71, 583,317.78 and 261,557.66

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Solution

The fourth proportional to 422,650.71, 583,317.78 and 261,557.66 is: 360,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,650.71 : 583,317.78 = 261,557.66 : x
  2. Step 2: Convert to fraction form
    422,650.71/583,317.78 = 261,557.66/x
  3. Step 3: Cross multiply
    422,650.71x = 583,317.78 × 261,557.66
  4. Step 4: Simplify right side
    422,650.71x = 152,571,233,573.20
  5. Step 5: Solve for x
    x = 152,571,233,573.20/422,650.71
  6. Step 6: Final answer
    x = 360,986.58

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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.