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Finding the Fourth Proportional to 513,908.78, 770,936.98 and 158,950.48

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Solution

The fourth proportional to 513,908.78, 770,936.98 and 158,950.48 is: 238,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,908.78 : 770,936.98 = 158,950.48 : x
  2. Step 2: Convert to fraction form
    513,908.78/770,936.98 = 158,950.48/x
  3. Step 3: Cross multiply
    513,908.78x = 770,936.98 × 158,950.48
  4. Step 4: Simplify right side
    513,908.78x = 122,540,800,047.79
  5. Step 5: Solve for x
    x = 122,540,800,047.79/513,908.78
  6. Step 6: Final answer
    x = 238,448.54

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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.