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Finding the Fourth Proportional to 256,884, 354,380.16 and 166,269.12

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Solution

The fourth proportional to 256,884, 354,380.16 and 166,269.12 is: 229,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,884 : 354,380.16 = 166,269.12 : x
  2. Step 2: Convert to fraction form
    256,884/354,380.16 = 166,269.12/x
  3. Step 3: Cross multiply
    256,884x = 354,380.16 × 166,269.12
  4. Step 4: Simplify right side
    256,884x = 58,922,477,348.66
  5. Step 5: Solve for x
    x = 58,922,477,348.66/256,884
  6. Step 6: Final answer
    x = 229,373.87

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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.