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Finding the Fourth Proportional to 484,470.40, 727,137.60 and 284,540.80

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Solution

The fourth proportional to 484,470.40, 727,137.60 and 284,540.80 is: 427,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,470.40 : 727,137.60 = 284,540.80 : x
  2. Step 2: Convert to fraction form
    484,470.40/727,137.60 = 284,540.80/x
  3. Step 3: Cross multiply
    484,470.40x = 727,137.60 × 284,540.80
  4. Step 4: Simplify right side
    484,470.40x = 206,900,314,414.08
  5. Step 5: Solve for x
    x = 206,900,314,414.08/484,470.40
  6. Step 6: Final answer
    x = 427,064.92

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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.