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Finding the Fourth Proportional to 256,142.25, 353,479.95 and 142,965

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Solution

The fourth proportional to 256,142.25, 353,479.95 and 142,965 is: 197,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,142.25 : 353,479.95 = 142,965 : x
  2. Step 2: Convert to fraction form
    256,142.25/353,479.95 = 142,965/x
  3. Step 3: Cross multiply
    256,142.25x = 353,479.95 × 142,965
  4. Step 4: Simplify right side
    256,142.25x = 50,535,261,051.75
  5. Step 5: Solve for x
    x = 50,535,261,051.75/256,142.25
  6. Step 6: Final answer
    x = 197,293.73

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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.