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Finding the Fourth Proportional to 413,661.78, 620,339.43 and 147,351.54

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Solution

The fourth proportional to 413,661.78, 620,339.43 and 147,351.54 is: 220,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,661.78 : 620,339.43 = 147,351.54 : x
  2. Step 2: Convert to fraction form
    413,661.78/620,339.43 = 147,351.54/x
  3. Step 3: Cross multiply
    413,661.78x = 620,339.43 × 147,351.54
  4. Step 4: Simplify right side
    413,661.78x = 91,407,970,333.22
  5. Step 5: Solve for x
    x = 91,407,970,333.22/413,661.78
  6. Step 6: Final answer
    x = 220,972.72

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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.