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Finding the Fourth Proportional to 256,427.92, 384,678.28 and 78,949.68

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Solution

The fourth proportional to 256,427.92, 384,678.28 and 78,949.68 is: 118,435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,427.92 : 384,678.28 = 78,949.68 : x
  2. Step 2: Convert to fraction form
    256,427.92/384,678.28 = 78,949.68/x
  3. Step 3: Cross multiply
    256,427.92x = 384,678.28 × 78,949.68
  4. Step 4: Simplify right side
    256,427.92x = 30,370,227,108.95
  5. Step 5: Solve for x
    x = 30,370,227,108.95/256,427.92
  6. Step 6: Final answer
    x = 118,435.73

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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.