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Finding the Fourth Proportional to 420,940.44, 631,659.77 and 154,887.79

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Solution

The fourth proportional to 420,940.44, 631,659.77 and 154,887.79 is: 232,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,940.44 : 631,659.77 = 154,887.79 : x
  2. Step 2: Convert to fraction form
    420,940.44/631,659.77 = 154,887.79/x
  3. Step 3: Cross multiply
    420,940.44x = 631,659.77 × 154,887.79
  4. Step 4: Simplify right side
    420,940.44x = 97,836,383,453.62
  5. Step 5: Solve for x
    x = 97,836,383,453.62/420,940.44
  6. Step 6: Final answer
    x = 232,423.34

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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.