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Finding the Fourth Proportional to 319,102.28, 478,710.34 and 105,883

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Solution

The fourth proportional to 319,102.28, 478,710.34 and 105,883 is: 158,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,102.28 : 478,710.34 = 105,883 : x
  2. Step 2: Convert to fraction form
    319,102.28/478,710.34 = 105,883/x
  3. Step 3: Cross multiply
    319,102.28x = 478,710.34 × 105,883
  4. Step 4: Simplify right side
    319,102.28x = 50,687,286,930.22
  5. Step 5: Solve for x
    x = 50,687,286,930.22/319,102.28
  6. Step 6: Final answer
    x = 158,843.39

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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.