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Finding the Fourth Proportional to 256,138.20, 384,247.80 and 87,674.40

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Solution

The fourth proportional to 256,138.20, 384,247.80 and 87,674.40 is: 131,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,138.20 : 384,247.80 = 87,674.40 : x
  2. Step 2: Convert to fraction form
    256,138.20/384,247.80 = 87,674.40/x
  3. Step 3: Cross multiply
    256,138.20x = 384,247.80 × 87,674.40
  4. Step 4: Simplify right side
    256,138.20x = 33,688,695,316.32
  5. Step 5: Solve for x
    x = 33,688,695,316.32/256,138.20
  6. Step 6: Final answer
    x = 131,525.46

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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.