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Finding the Fourth Proportional to 256,843.62, 354,424.92 and 143,644.50

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Solution

The fourth proportional to 256,843.62, 354,424.92 and 143,644.50 is: 198,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,843.62 : 354,424.92 = 143,644.50 : x
  2. Step 2: Convert to fraction form
    256,843.62/354,424.92 = 143,644.50/x
  3. Step 3: Cross multiply
    256,843.62x = 354,424.92 × 143,644.50
  4. Step 4: Simplify right side
    256,843.62x = 50,911,190,420.94
  5. Step 5: Solve for x
    x = 50,911,190,420.94/256,843.62
  6. Step 6: Final answer
    x = 198,218.63

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1.5x scale

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.