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Finding the Fourth Proportional to 319,103.28, 478,711.84 and 105,884

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Solution

The fourth proportional to 319,103.28, 478,711.84 and 105,884 is: 158,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,103.28 : 478,711.84 = 105,884 : x
  2. Step 2: Convert to fraction form
    319,103.28/478,711.84 = 105,884/x
  3. Step 3: Cross multiply
    319,103.28x = 478,711.84 × 105,884
  4. Step 4: Simplify right side
    319,103.28x = 50,687,924,466.56
  5. Step 5: Solve for x
    x = 50,687,924,466.56/319,103.28
  6. Step 6: Final answer
    x = 158,844.89

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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.