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Finding the Fourth Proportional to 256,282.76, 384,425.76 and 168,096.44

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Solution

The fourth proportional to 256,282.76, 384,425.76 and 168,096.44 is: 252,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,282.76 : 384,425.76 = 168,096.44 : x
  2. Step 2: Convert to fraction form
    256,282.76/384,425.76 = 168,096.44/x
  3. Step 3: Cross multiply
    256,282.76x = 384,425.76 × 168,096.44
  4. Step 4: Simplify right side
    256,282.76x = 64,620,601,700.29
  5. Step 5: Solve for x
    x = 64,620,601,700.29/256,282.76
  6. Step 6: Final answer
    x = 252,145.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.