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Finding the Fourth Proportional to 513,898.75, 770,921.97 and 158,940.45

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Solution

The fourth proportional to 513,898.75, 770,921.97 and 158,940.45 is: 238,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,898.75 : 770,921.97 = 158,940.45 : x
  2. Step 2: Convert to fraction form
    513,898.75/770,921.97 = 158,940.45/x
  3. Step 3: Cross multiply
    513,898.75x = 770,921.97 × 158,940.45
  4. Step 4: Simplify right side
    513,898.75x = 122,530,684,826.69
  5. Step 5: Solve for x
    x = 122,530,684,826.69/513,898.75
  6. Step 6: Final answer
    x = 238,433.51

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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.