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Finding the Fourth Proportional to 471,729.60, 706,816.80 and 392,414.40

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Solution

The fourth proportional to 471,729.60, 706,816.80 and 392,414.40 is: 587,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,729.60 : 706,816.80 = 392,414.40 : x
  2. Step 2: Convert to fraction form
    471,729.60/706,816.80 = 392,414.40/x
  3. Step 3: Cross multiply
    471,729.60x = 706,816.80 × 392,414.40
  4. Step 4: Simplify right side
    471,729.60x = 277,365,090,481.92
  5. Step 5: Solve for x
    x = 277,365,090,481.92/471,729.60
  6. Step 6: Final answer
    x = 587,974.74

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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.