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Finding the Fourth Proportional to 439,496.86, 658,371.82 and 214,200.34

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Solution

The fourth proportional to 439,496.86, 658,371.82 and 214,200.34 is: 320,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,496.86 : 658,371.82 = 214,200.34 : x
  2. Step 2: Convert to fraction form
    439,496.86/658,371.82 = 214,200.34/x
  3. Step 3: Cross multiply
    439,496.86x = 658,371.82 × 214,200.34
  4. Step 4: Simplify right side
    439,496.86x = 141,023,467,690.42
  5. Step 5: Solve for x
    x = 141,023,467,690.42/439,496.86
  6. Step 6: Final answer
    x = 320,874.80

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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.