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Finding the Fourth Proportional to 331,759, 457,827.56 and 188,519.20

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Solution

The fourth proportional to 331,759, 457,827.56 and 188,519.20 is: 260,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,759 : 457,827.56 = 188,519.20 : x
  2. Step 2: Convert to fraction form
    331,759/457,827.56 = 188,519.20/x
  3. Step 3: Cross multiply
    331,759x = 457,827.56 × 188,519.20
  4. Step 4: Simplify right side
    331,759x = 86,309,285,349.15
  5. Step 5: Solve for x
    x = 86,309,285,349.15/331,759
  6. Step 6: Final answer
    x = 260,156.58

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1.5x scale

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.