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Finding the Fourth Proportional to 321,416.37, 482,012.78 and 131,822.91

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Solution

The fourth proportional to 321,416.37, 482,012.78 and 131,822.91 is: 197,688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,416.37 : 482,012.78 = 131,822.91 : x
  2. Step 2: Convert to fraction form
    321,416.37/482,012.78 = 131,822.91/x
  3. Step 3: Cross multiply
    321,416.37x = 482,012.78 × 131,822.91
  4. Step 4: Simplify right side
    321,416.37x = 63,540,326,657.68
  5. Step 5: Solve for x
    x = 63,540,326,657.68/321,416.37
  6. Step 6: Final answer
    x = 197,688.52

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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.