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Finding the Fourth Proportional to 256,310.40, 384,502.48 and 78,832.32

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Solution

The fourth proportional to 256,310.40, 384,502.48 and 78,832.32 is: 118,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,310.40 : 384,502.48 = 78,832.32 : x
  2. Step 2: Convert to fraction form
    256,310.40/384,502.48 = 78,832.32/x
  3. Step 3: Cross multiply
    256,310.40x = 384,502.48 × 78,832.32
  4. Step 4: Simplify right side
    256,310.40x = 30,311,222,544.15
  5. Step 5: Solve for x
    x = 30,311,222,544.15/256,310.40
  6. Step 6: Final answer
    x = 118,259.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.