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Finding the Fourth Proportional to 489,012.56, 733,440.11 and 133,943.54

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Solution

The fourth proportional to 489,012.56, 733,440.11 and 133,943.54 is: 200,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,012.56 : 733,440.11 = 133,943.54 : x
  2. Step 2: Convert to fraction form
    489,012.56/733,440.11 = 133,943.54/x
  3. Step 3: Cross multiply
    489,012.56x = 733,440.11 × 133,943.54
  4. Step 4: Simplify right side
    489,012.56x = 98,239,564,711.39
  5. Step 5: Solve for x
    x = 98,239,564,711.39/489,012.56
  6. Step 6: Final answer
    x = 200,893.75

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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.