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Finding the Fourth Proportional to 312,655.48, 468,979.10 and 75,997.48

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Solution

The fourth proportional to 312,655.48, 468,979.10 and 75,997.48 is: 113,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,655.48 : 468,979.10 = 75,997.48 : x
  2. Step 2: Convert to fraction form
    312,655.48/468,979.10 = 75,997.48/x
  3. Step 3: Cross multiply
    312,655.48x = 468,979.10 × 75,997.48
  4. Step 4: Simplify right side
    312,655.48x = 35,641,229,772.67
  5. Step 5: Solve for x
    x = 35,641,229,772.67/312,655.48
  6. Step 6: Final answer
    x = 113,995.22

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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.