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Finding the Fourth Proportional to 256,396.70, 384,595.32 and 66,856.90

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Solution

The fourth proportional to 256,396.70, 384,595.32 and 66,856.90 is: 100,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,396.70 : 384,595.32 = 66,856.90 : x
  2. Step 2: Convert to fraction form
    256,396.70/384,595.32 = 66,856.90/x
  3. Step 3: Cross multiply
    256,396.70x = 384,595.32 × 66,856.90
  4. Step 4: Simplify right side
    256,396.70x = 25,712,850,849.71
  5. Step 5: Solve for x
    x = 25,712,850,849.71/256,396.70
  6. Step 6: Final answer
    x = 100,285.42

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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.