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Finding the Fourth Proportional to 319,168.02, 478,768.43 and 82,512.75

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Solution

The fourth proportional to 319,168.02, 478,768.43 and 82,512.75 is: 123,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,168.02 : 478,768.43 = 82,512.75 : x
  2. Step 2: Convert to fraction form
    319,168.02/478,768.43 = 82,512.75/x
  3. Step 3: Cross multiply
    319,168.02x = 478,768.43 × 82,512.75
  4. Step 4: Simplify right side
    319,168.02x = 39,504,499,772.48
  5. Step 5: Solve for x
    x = 39,504,499,772.48/319,168.02
  6. Step 6: Final answer
    x = 123,773.36

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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.