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Finding the Fourth Proportional to 256,267.85, 384,438.46 and 78,789.76

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Solution

The fourth proportional to 256,267.85, 384,438.46 and 78,789.76 is: 118,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,267.85 : 384,438.46 = 78,789.76 : x
  2. Step 2: Convert to fraction form
    256,267.85/384,438.46 = 78,789.76/x
  3. Step 3: Cross multiply
    256,267.85x = 384,438.46 × 78,789.76
  4. Step 4: Simplify right side
    256,267.85x = 30,289,813,801.20
  5. Step 5: Solve for x
    x = 30,289,813,801.20/256,267.85
  6. Step 6: Final answer
    x = 118,195.92

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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.