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Finding the Fourth Proportional to 256,788.30, 354,351.78 and 142,064.22

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Solution

The fourth proportional to 256,788.30, 354,351.78 and 142,064.22 is: 196,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,788.30 : 354,351.78 = 142,064.22 : x
  2. Step 2: Convert to fraction form
    256,788.30/354,351.78 = 142,064.22/x
  3. Step 3: Cross multiply
    256,788.30x = 354,351.78 × 142,064.22
  4. Step 4: Simplify right side
    256,788.30x = 50,340,709,231.31
  5. Step 5: Solve for x
    x = 50,340,709,231.31/256,788.30
  6. Step 6: Final answer
    x = 196,039.73

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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.