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Finding the Fourth Proportional to 467,857.21, 645,628.38 and 263,905.15

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Solution

The fourth proportional to 467,857.21, 645,628.38 and 263,905.15 is: 364,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,857.21 : 645,628.38 = 263,905.15 : x
  2. Step 2: Convert to fraction form
    467,857.21/645,628.38 = 263,905.15/x
  3. Step 3: Cross multiply
    467,857.21x = 645,628.38 × 263,905.15
  4. Step 4: Simplify right side
    467,857.21x = 170,384,654,468.16
  5. Step 5: Solve for x
    x = 170,384,654,468.16/467,857.21
  6. Step 6: Final answer
    x = 364,180.89

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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.