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Finding the Fourth Proportional to 413,901.22, 622,046.81 and 385,166.31

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Solution

The fourth proportional to 413,901.22, 622,046.81 and 385,166.31 is: 578,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,901.22 : 622,046.81 = 385,166.31 : x
  2. Step 2: Convert to fraction form
    413,901.22/622,046.81 = 385,166.31/x
  3. Step 3: Cross multiply
    413,901.22x = 622,046.81 × 385,166.31
  4. Step 4: Simplify right side
    413,901.22x = 239,591,472,529.14
  5. Step 5: Solve for x
    x = 239,591,472,529.14/413,901.22
  6. Step 6: Final answer
    x = 578,861.48

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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.