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Finding the Fourth Proportional to 256,796.64, 354,412.80 and 143,642.88

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Solution

The fourth proportional to 256,796.64, 354,412.80 and 143,642.88 is: 198,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,796.64 : 354,412.80 = 143,642.88 : x
  2. Step 2: Convert to fraction form
    256,796.64/354,412.80 = 143,642.88/x
  3. Step 3: Cross multiply
    256,796.64x = 354,412.80 × 143,642.88
  4. Step 4: Simplify right side
    256,796.64x = 50,908,875,300.86
  5. Step 5: Solve for x
    x = 50,908,875,300.86/256,796.64
  6. Step 6: Final answer
    x = 198,245.88

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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.