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Finding the Fourth Proportional to 395,983.20, 593,974.80 and 186,031.20

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Solution

The fourth proportional to 395,983.20, 593,974.80 and 186,031.20 is: 279,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,983.20 : 593,974.80 = 186,031.20 : x
  2. Step 2: Convert to fraction form
    395,983.20/593,974.80 = 186,031.20/x
  3. Step 3: Cross multiply
    395,983.20x = 593,974.80 × 186,031.20
  4. Step 4: Simplify right side
    395,983.20x = 110,497,844,813.76
  5. Step 5: Solve for x
    x = 110,497,844,813.76/395,983.20
  6. Step 6: Final answer
    x = 279,046.80

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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.