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Finding the Fourth Proportional to 256,439.40, 384,577.02 and 85,624.44

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Solution

The fourth proportional to 256,439.40, 384,577.02 and 85,624.44 is: 128,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,439.40 : 384,577.02 = 85,624.44 : x
  2. Step 2: Convert to fraction form
    256,439.40/384,577.02 = 85,624.44/x
  3. Step 3: Cross multiply
    256,439.40x = 384,577.02 × 85,624.44
  4. Step 4: Simplify right side
    256,439.40x = 32,929,191,974.37
  5. Step 5: Solve for x
    x = 32,929,191,974.37/256,439.40
  6. Step 6: Final answer
    x = 128,409.25

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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.