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Finding the Fourth Proportional to 392,898.60, 588,473.10 and 340,410.60

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Solution

The fourth proportional to 392,898.60, 588,473.10 and 340,410.60 is: 509,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,898.60 : 588,473.10 = 340,410.60 : x
  2. Step 2: Convert to fraction form
    392,898.60/588,473.10 = 340,410.60/x
  3. Step 3: Cross multiply
    392,898.60x = 588,473.10 × 340,410.60
  4. Step 4: Simplify right side
    392,898.60x = 200,322,481,054.86
  5. Step 5: Solve for x
    x = 200,322,481,054.86/392,898.60
  6. Step 6: Final answer
    x = 509,857.97

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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.