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Finding the Fourth Proportional to 395,937.60, 593,906.40 and 381,940.80

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Solution

The fourth proportional to 395,937.60, 593,906.40 and 381,940.80 is: 572,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,937.60 : 593,906.40 = 381,940.80 : x
  2. Step 2: Convert to fraction form
    395,937.60/593,906.40 = 381,940.80/x
  3. Step 3: Cross multiply
    395,937.60x = 593,906.40 × 381,940.80
  4. Step 4: Simplify right side
    395,937.60x = 226,837,085,541.12
  5. Step 5: Solve for x
    x = 226,837,085,541.12/395,937.60
  6. Step 6: Final answer
    x = 572,911.20

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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.