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Finding the Fourth Proportional to 512,059.62, 768,165.53 and 165,727.22

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Solution

The fourth proportional to 512,059.62, 768,165.53 and 165,727.22 is: 248,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,059.62 : 768,165.53 = 165,727.22 : x
  2. Step 2: Convert to fraction form
    512,059.62/768,165.53 = 165,727.22/x
  3. Step 3: Cross multiply
    512,059.62x = 768,165.53 × 165,727.22
  4. Step 4: Simplify right side
    512,059.62x = 127,305,933,117.26
  5. Step 5: Solve for x
    x = 127,305,933,117.26/512,059.62
  6. Step 6: Final answer
    x = 248,615.45

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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.