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Finding the Fourth Proportional to 340,761.22, 511,147.17 and 100,899.46

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Solution

The fourth proportional to 340,761.22, 511,147.17 and 100,899.46 is: 151,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,761.22 : 511,147.17 = 100,899.46 : x
  2. Step 2: Convert to fraction form
    340,761.22/511,147.17 = 100,899.46/x
  3. Step 3: Cross multiply
    340,761.22x = 511,147.17 × 100,899.46
  4. Step 4: Simplify right side
    340,761.22x = 51,574,473,433.53
  5. Step 5: Solve for x
    x = 51,574,473,433.53/340,761.22
  6. Step 6: Final answer
    x = 151,350.77

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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.