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Finding the Fourth Proportional to 513,876.40, 770,929.80 and 158,906.80

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Solution

The fourth proportional to 513,876.40, 770,929.80 and 158,906.80 is: 238,395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,876.40 : 770,929.80 = 158,906.80 : x
  2. Step 2: Convert to fraction form
    513,876.40/770,929.80 = 158,906.80/x
  3. Step 3: Cross multiply
    513,876.40x = 770,929.80 × 158,906.80
  4. Step 4: Simplify right side
    513,876.40x = 122,505,987,542.64
  5. Step 5: Solve for x
    x = 122,505,987,542.64/513,876.40
  6. Step 6: Final answer
    x = 238,395.82

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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.