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Finding the Fourth Proportional to 256,774, 354,349.32 and 143,596.76

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Solution

The fourth proportional to 256,774, 354,349.32 and 143,596.76 is: 198,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,774 : 354,349.32 = 143,596.76 : x
  2. Step 2: Convert to fraction form
    256,774/354,349.32 = 143,596.76/x
  3. Step 3: Cross multiply
    256,774x = 354,349.32 × 143,596.76
  4. Step 4: Simplify right side
    256,774x = 50,883,414,260.20
  5. Step 5: Solve for x
    x = 50,883,414,260.20/256,774
  6. Step 6: Final answer
    x = 198,164.20

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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.