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Finding the Fourth Proportional to 381,649.80, 571,985.10 and 213,169.80

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Solution

The fourth proportional to 381,649.80, 571,985.10 and 213,169.80 is: 319,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,649.80 : 571,985.10 = 213,169.80 : x
  2. Step 2: Convert to fraction form
    381,649.80/571,985.10 = 213,169.80/x
  3. Step 3: Cross multiply
    381,649.80x = 571,985.10 × 213,169.80
  4. Step 4: Simplify right side
    381,649.80x = 121,929,949,369.98
  5. Step 5: Solve for x
    x = 121,929,949,369.98/381,649.80
  6. Step 6: Final answer
    x = 319,481.23

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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.