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Finding the Fourth Proportional to 319,720.40, 479,969.40 and 161,867.60

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Solution

The fourth proportional to 319,720.40, 479,969.40 and 161,867.60 is: 242,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,720.40 : 479,969.40 = 161,867.60 : x
  2. Step 2: Convert to fraction form
    319,720.40/479,969.40 = 161,867.60/x
  3. Step 3: Cross multiply
    319,720.40x = 479,969.40 × 161,867.60
  4. Step 4: Simplify right side
    319,720.40x = 77,691,494,851.44
  5. Step 5: Solve for x
    x = 77,691,494,851.44/319,720.40
  6. Step 6: Final answer
    x = 242,998.24

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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.