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Finding the Fourth Proportional to 256,644.57, 384,934.04 and 106,856.94

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Solution

The fourth proportional to 256,644.57, 384,934.04 and 106,856.94 is: 160,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,644.57 : 384,934.04 = 106,856.94 : x
  2. Step 2: Convert to fraction form
    256,644.57/384,934.04 = 106,856.94/x
  3. Step 3: Cross multiply
    256,644.57x = 384,934.04 × 106,856.94
  4. Step 4: Simplify right side
    256,644.57x = 41,132,872,760.92
  5. Step 5: Solve for x
    x = 41,132,872,760.92/256,644.57
  6. Step 6: Final answer
    x = 160,271.74

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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.