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Finding the Fourth Proportional to 256,446, 353,889 and 143,269.56

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Solution

The fourth proportional to 256,446, 353,889 and 143,269.56 is: 197,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,446 : 353,889 = 143,269.56 : x
  2. Step 2: Convert to fraction form
    256,446/353,889 = 143,269.56/x
  3. Step 3: Cross multiply
    256,446x = 353,889 × 143,269.56
  4. Step 4: Simplify right side
    256,446x = 50,701,521,318.84
  5. Step 5: Solve for x
    x = 50,701,521,318.84/256,446
  6. Step 6: Final answer
    x = 197,708.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.