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Finding the Fourth Proportional to 413,571.20, 620,356.80 and 133,088.45

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Solution

The fourth proportional to 413,571.20, 620,356.80 and 133,088.45 is: 199,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,571.20 : 620,356.80 = 133,088.45 : x
  2. Step 2: Convert to fraction form
    413,571.20/620,356.80 = 133,088.45/x
  3. Step 3: Cross multiply
    413,571.20x = 620,356.80 × 133,088.45
  4. Step 4: Simplify right side
    413,571.20x = 82,562,324,958.96
  5. Step 5: Solve for x
    x = 82,562,324,958.96/413,571.20
  6. Step 6: Final answer
    x = 199,632.68

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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.