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Finding the Fourth Proportional to 256,984.10, 354,642.26 and 140,695.64

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Solution

The fourth proportional to 256,984.10, 354,642.26 and 140,695.64 is: 194,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,984.10 : 354,642.26 = 140,695.64 : x
  2. Step 2: Convert to fraction form
    256,984.10/354,642.26 = 140,695.64/x
  3. Step 3: Cross multiply
    256,984.10x = 354,642.26 × 140,695.64
  4. Step 4: Simplify right side
    256,984.10x = 49,896,619,741.75
  5. Step 5: Solve for x
    x = 49,896,619,741.75/256,984.10
  6. Step 6: Final answer
    x = 194,162.28

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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.