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Finding the Fourth Proportional to 319,044.26, 478,218.20 and 157,049.78

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Solution

The fourth proportional to 319,044.26, 478,218.20 and 157,049.78 is: 235,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,044.26 : 478,218.20 = 157,049.78 : x
  2. Step 2: Convert to fraction form
    319,044.26/478,218.20 = 157,049.78/x
  3. Step 3: Cross multiply
    319,044.26x = 478,218.20 × 157,049.78
  4. Step 4: Simplify right side
    319,044.26x = 75,104,063,102.00
  5. Step 5: Solve for x
    x = 75,104,063,102.00/319,044.26
  6. Step 6: Final answer
    x = 235,403.27

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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.