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Finding the Fourth Proportional to 303,761.72, 419,214.16 and 174,739.70

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Solution

The fourth proportional to 303,761.72, 419,214.16 and 174,739.70 is: 241,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,761.72 : 419,214.16 = 174,739.70 : x
  2. Step 2: Convert to fraction form
    303,761.72/419,214.16 = 174,739.70/x
  3. Step 3: Cross multiply
    303,761.72x = 419,214.16 × 174,739.70
  4. Step 4: Simplify right side
    303,761.72x = 73,253,356,554.15
  5. Step 5: Solve for x
    x = 73,253,356,554.15/303,761.72
  6. Step 6: Final answer
    x = 241,154.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.