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Finding the Fourth Proportional to 256,821, 354,414.36 and 143,643.72

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Solution

The fourth proportional to 256,821, 354,414.36 and 143,643.72 is: 198,229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,821 : 354,414.36 = 143,643.72 : x
  2. Step 2: Convert to fraction form
    256,821/354,414.36 = 143,643.72/x
  3. Step 3: Cross multiply
    256,821x = 354,414.36 × 143,643.72
  4. Step 4: Simplify right side
    256,821x = 50,909,397,091.82
  5. Step 5: Solve for x
    x = 50,909,397,091.82/256,821
  6. Step 6: Final answer
    x = 198,229.11

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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.