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Finding the Fourth Proportional to 256,995.64, 354,648.50 and 142,267.72

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Solution

The fourth proportional to 256,995.64, 354,648.50 and 142,267.72 is: 196,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,995.64 : 354,648.50 = 142,267.72 : x
  2. Step 2: Convert to fraction form
    256,995.64/354,648.50 = 142,267.72/x
  3. Step 3: Cross multiply
    256,995.64x = 354,648.50 × 142,267.72
  4. Step 4: Simplify right side
    256,995.64x = 50,455,033,496.42
  5. Step 5: Solve for x
    x = 50,455,033,496.42/256,995.64
  6. Step 6: Final answer
    x = 196,326.42

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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.