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Finding the Fourth Proportional to 512,493.69, 768,814.04 and 157,537.52

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Solution

The fourth proportional to 512,493.69, 768,814.04 and 157,537.52 is: 236,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,493.69 : 768,814.04 = 157,537.52 : x
  2. Step 2: Convert to fraction form
    512,493.69/768,814.04 = 157,537.52/x
  3. Step 3: Cross multiply
    512,493.69x = 768,814.04 × 157,537.52
  4. Step 4: Simplify right side
    512,493.69x = 121,117,053,752.55
  5. Step 5: Solve for x
    x = 121,117,053,752.55/512,493.69
  6. Step 6: Final answer
    x = 236,328.87

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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.