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Finding the Fourth Proportional to 256,145.75, 353,484.78 and 142,968.50

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Solution

The fourth proportional to 256,145.75, 353,484.78 and 142,968.50 is: 197,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,145.75 : 353,484.78 = 142,968.50 : x
  2. Step 2: Convert to fraction form
    256,145.75/353,484.78 = 142,968.50/x
  3. Step 3: Cross multiply
    256,145.75x = 353,484.78 × 142,968.50
  4. Step 4: Simplify right side
    256,145.75x = 50,537,188,769.43
  5. Step 5: Solve for x
    x = 50,537,188,769.43/256,145.75
  6. Step 6: Final answer
    x = 197,298.56

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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.