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Finding the Fourth Proportional to 213,645.90, 320,046.45 and 187,380.30

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Solution

The fourth proportional to 213,645.90, 320,046.45 and 187,380.30 is: 280,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,645.90 : 320,046.45 = 187,380.30 : x
  2. Step 2: Convert to fraction form
    213,645.90/320,046.45 = 187,380.30/x
  3. Step 3: Cross multiply
    213,645.90x = 320,046.45 × 187,380.30
  4. Step 4: Simplify right side
    213,645.90x = 59,970,399,814.94
  5. Step 5: Solve for x
    x = 59,970,399,814.94/213,645.90
  6. Step 6: Final answer
    x = 280,699.98

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1.5x scale

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.