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Finding the Fourth Proportional to 342,761.20, 514,141.80 and 202,447.60

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Solution

The fourth proportional to 342,761.20, 514,141.80 and 202,447.60 is: 303,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,761.20 : 514,141.80 = 202,447.60 : x
  2. Step 2: Convert to fraction form
    342,761.20/514,141.80 = 202,447.60/x
  3. Step 3: Cross multiply
    342,761.20x = 514,141.80 × 202,447.60
  4. Step 4: Simplify right side
    342,761.20x = 104,086,773,469.68
  5. Step 5: Solve for x
    x = 104,086,773,469.68/342,761.20
  6. Step 6: Final answer
    x = 303,671.40

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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.