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Finding the Fourth Proportional to 428,414.80, 642,007.80 and 315,211.60

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Solution

The fourth proportional to 428,414.80, 642,007.80 and 315,211.60 is: 472,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,414.80 : 642,007.80 = 315,211.60 : x
  2. Step 2: Convert to fraction form
    428,414.80/642,007.80 = 315,211.60/x
  3. Step 3: Cross multiply
    428,414.80x = 642,007.80 × 315,211.60
  4. Step 4: Simplify right side
    428,414.80x = 202,368,305,850.48
  5. Step 5: Solve for x
    x = 202,368,305,850.48/428,414.80
  6. Step 6: Final answer
    x = 472,365.35

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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.