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Finding the Fourth Proportional to 256,464.70, 384,697.05 and 66,924.70

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Solution

The fourth proportional to 256,464.70, 384,697.05 and 66,924.70 is: 100,387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,464.70 : 384,697.05 = 66,924.70 : x
  2. Step 2: Convert to fraction form
    256,464.70/384,697.05 = 66,924.70/x
  3. Step 3: Cross multiply
    256,464.70x = 384,697.05 × 66,924.70
  4. Step 4: Simplify right side
    256,464.70x = 25,745,734,662.14
  5. Step 5: Solve for x
    x = 25,745,734,662.14/256,464.70
  6. Step 6: Final answer
    x = 100,387.05

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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.