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Finding the Fourth Proportional to 319,121.48, 478,524.26 and 186,035.24

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Solution

The fourth proportional to 319,121.48, 478,524.26 and 186,035.24 is: 278,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,121.48 : 478,524.26 = 186,035.24 : x
  2. Step 2: Convert to fraction form
    319,121.48/478,524.26 = 186,035.24/x
  3. Step 3: Cross multiply
    319,121.48x = 478,524.26 × 186,035.24
  4. Step 4: Simplify right side
    319,121.48x = 89,022,375,554.92
  5. Step 5: Solve for x
    x = 89,022,375,554.92/319,121.48
  6. Step 6: Final answer
    x = 278,960.78

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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.