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Finding the Fourth Proportional to 285,714.61, 394,206.35 and 225,097.38

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Solution

The fourth proportional to 285,714.61, 394,206.35 and 225,097.38 is: 310,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,714.61 : 394,206.35 = 225,097.38 : x
  2. Step 2: Convert to fraction form
    285,714.61/394,206.35 = 225,097.38/x
  3. Step 3: Cross multiply
    285,714.61x = 394,206.35 × 225,097.38
  4. Step 4: Simplify right side
    285,714.61x = 88,734,815,438.88
  5. Step 5: Solve for x
    x = 88,734,815,438.88/285,714.61
  6. Step 6: Final answer
    x = 310,571.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.