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Finding the Fourth Proportional to 256,543, 354,022.74 and 143,366.68

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Solution

The fourth proportional to 256,543, 354,022.74 and 143,366.68 is: 197,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,543 : 354,022.74 = 143,366.68 : x
  2. Step 2: Convert to fraction form
    256,543/354,022.74 = 143,366.68/x
  3. Step 3: Cross multiply
    256,543x = 354,022.74 × 143,366.68
  4. Step 4: Simplify right side
    256,543x = 50,755,064,878.30
  5. Step 5: Solve for x
    x = 50,755,064,878.30/256,543
  6. Step 6: Final answer
    x = 197,842.33

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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.