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Finding the Fourth Proportional to 256,491.35, 384,778.38 and 78,998.30

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Solution

The fourth proportional to 256,491.35, 384,778.38 and 78,998.30 is: 118,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,491.35 : 384,778.38 = 78,998.30 : x
  2. Step 2: Convert to fraction form
    256,491.35/384,778.38 = 78,998.30/x
  3. Step 3: Cross multiply
    256,491.35x = 384,778.38 × 78,998.30
  4. Step 4: Simplify right side
    256,491.35x = 30,396,835,972.86
  5. Step 5: Solve for x
    x = 30,396,835,972.86/256,491.35
  6. Step 6: Final answer
    x = 118,510.18

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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.