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Finding the Fourth Proportional to 512,498.57, 768,821.36 and 157,542.39

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Solution

The fourth proportional to 512,498.57, 768,821.36 and 157,542.39 is: 236,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,498.57 : 768,821.36 = 157,542.39 : x
  2. Step 2: Convert to fraction form
    512,498.57/768,821.36 = 157,542.39/x
  3. Step 3: Cross multiply
    512,498.57x = 768,821.36 × 157,542.39
  4. Step 4: Simplify right side
    512,498.57x = 121,121,953,749.74
  5. Step 5: Solve for x
    x = 121,121,953,749.74/512,498.57
  6. Step 6: Final answer
    x = 236,336.18

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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.