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Finding the Fourth Proportional to 256,996.64, 354,649.88 and 142,268.72

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Solution

The fourth proportional to 256,996.64, 354,649.88 and 142,268.72 is: 196,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,996.64 : 354,649.88 = 142,268.72 : x
  2. Step 2: Convert to fraction form
    256,996.64/354,649.88 = 142,268.72/x
  3. Step 3: Cross multiply
    256,996.64x = 354,649.88 × 142,268.72
  4. Step 4: Simplify right side
    256,996.64x = 50,455,584,475.75
  5. Step 5: Solve for x
    x = 50,455,584,475.75/256,996.64
  6. Step 6: Final answer
    x = 196,327.80

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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.