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Finding the Fourth Proportional to 256,880.56, 385,281.96 and 69,906.64

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Solution

The fourth proportional to 256,880.56, 385,281.96 and 69,906.64 is: 104,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,880.56 : 385,281.96 = 69,906.64 : x
  2. Step 2: Convert to fraction form
    256,880.56/385,281.96 = 69,906.64/x
  3. Step 3: Cross multiply
    256,880.56x = 385,281.96 × 69,906.64
  4. Step 4: Simplify right side
    256,880.56x = 26,933,767,276.21
  5. Step 5: Solve for x
    x = 26,933,767,276.21/256,880.56
  6. Step 6: Final answer
    x = 104,849.38

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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.