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Finding the Fourth Proportional to 256,006.70, 384,181.45 and 106,247.12

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Solution

The fourth proportional to 256,006.70, 384,181.45 and 106,247.12 is: 159,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,006.70 : 384,181.45 = 106,247.12 : x
  2. Step 2: Convert to fraction form
    256,006.70/384,181.45 = 106,247.12/x
  3. Step 3: Cross multiply
    256,006.70x = 384,181.45 × 106,247.12
  4. Step 4: Simplify right side
    256,006.70x = 40,818,170,433.40
  5. Step 5: Solve for x
    x = 40,818,170,433.40/256,006.70
  6. Step 6: Final answer
    x = 159,441.80

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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.