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Finding the Fourth Proportional to 309,927.97, 465,071.45 and 129,997.40

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Solution

The fourth proportional to 309,927.97, 465,071.45 and 129,997.40 is: 195,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,927.97 : 465,071.45 = 129,997.40 : x
  2. Step 2: Convert to fraction form
    309,927.97/465,071.45 = 129,997.40/x
  3. Step 3: Cross multiply
    309,927.97x = 465,071.45 × 129,997.40
  4. Step 4: Simplify right side
    309,927.97x = 60,458,079,314.23
  5. Step 5: Solve for x
    x = 60,458,079,314.23/309,927.97
  6. Step 6: Final answer
    x = 195,071.39

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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.