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Finding the Fourth Proportional to 312,657.48, 468,982.10 and 75,999.48

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Solution

The fourth proportional to 312,657.48, 468,982.10 and 75,999.48 is: 113,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,657.48 : 468,982.10 = 75,999.48 : x
  2. Step 2: Convert to fraction form
    312,657.48/468,982.10 = 75,999.48/x
  3. Step 3: Cross multiply
    312,657.48x = 468,982.10 × 75,999.48
  4. Step 4: Simplify right side
    312,657.48x = 35,642,395,729.31
  5. Step 5: Solve for x
    x = 35,642,395,729.31/312,657.48
  6. Step 6: Final answer
    x = 113,998.22

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1.5x scale

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.