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Finding the Fourth Proportional to 512,204.66, 768,308.81 and 157,218.71

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Solution

The fourth proportional to 512,204.66, 768,308.81 and 157,218.71 is: 235,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,204.66 : 768,308.81 = 157,218.71 : x
  2. Step 2: Convert to fraction form
    512,204.66/768,308.81 = 157,218.71/x
  3. Step 3: Cross multiply
    512,204.66x = 768,308.81 × 157,218.71
  4. Step 4: Simplify right side
    512,204.66x = 120,792,515,362.20
  5. Step 5: Solve for x
    x = 120,792,515,362.20/512,204.66
  6. Step 6: Final answer
    x = 235,828.62

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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.