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Finding the Fourth Proportional to 440,761.47, 661,105.44 and 312,146.03

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Solution

The fourth proportional to 440,761.47, 661,105.44 and 312,146.03 is: 468,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,761.47 : 661,105.44 = 312,146.03 : x
  2. Step 2: Convert to fraction form
    440,761.47/661,105.44 = 312,146.03/x
  3. Step 3: Cross multiply
    440,761.47x = 661,105.44 × 312,146.03
  4. Step 4: Simplify right side
    440,761.47x = 206,361,435,201.88
  5. Step 5: Solve for x
    x = 206,361,435,201.88/440,761.47
  6. Step 6: Final answer
    x = 468,193.00

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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.