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Finding the Fourth Proportional to 256,722.30, 384,046.65 and 222,047.10

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Solution

The fourth proportional to 256,722.30, 384,046.65 and 222,047.10 is: 332,173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,722.30 : 384,046.65 = 222,047.10 : x
  2. Step 2: Convert to fraction form
    256,722.30/384,046.65 = 222,047.10/x
  3. Step 3: Cross multiply
    256,722.30x = 384,046.65 × 222,047.10
  4. Step 4: Simplify right side
    256,722.30x = 85,276,444,897.22
  5. Step 5: Solve for x
    x = 85,276,444,897.22/256,722.30
  6. Step 6: Final answer
    x = 332,173.89

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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.