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Finding the Fourth Proportional to 427,625.42, 641,559.22 and 214,135.61

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Solution

The fourth proportional to 427,625.42, 641,559.22 and 214,135.61 is: 321,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,625.42 : 641,559.22 = 214,135.61 : x
  2. Step 2: Convert to fraction form
    427,625.42/641,559.22 = 214,135.61/x
  3. Step 3: Cross multiply
    427,625.42x = 641,559.22 × 214,135.61
  4. Step 4: Simplify right side
    427,625.42x = 137,380,671,182.69
  5. Step 5: Solve for x
    x = 137,380,671,182.69/427,625.42
  6. Step 6: Final answer
    x = 321,264.05

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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.