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Finding the Fourth Proportional to 319,234.52, 478,851.78 and 108,874.28

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Solution

The fourth proportional to 319,234.52, 478,851.78 and 108,874.28 is: 163,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,234.52 : 478,851.78 = 108,874.28 : x
  2. Step 2: Convert to fraction form
    319,234.52/478,851.78 = 108,874.28/x
  3. Step 3: Cross multiply
    319,234.52x = 478,851.78 × 108,874.28
  4. Step 4: Simplify right side
    319,234.52x = 52,134,642,774.22
  5. Step 5: Solve for x
    x = 52,134,642,774.22/319,234.52
  6. Step 6: Final answer
    x = 163,311.42

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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.