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Finding the Fourth Proportional to 256,427.40, 384,641.10 and 230,766.60

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Solution

The fourth proportional to 256,427.40, 384,641.10 and 230,766.60 is: 346,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,427.40 : 384,641.10 = 230,766.60 : x
  2. Step 2: Convert to fraction form
    256,427.40/384,641.10 = 230,766.60/x
  3. Step 3: Cross multiply
    256,427.40x = 384,641.10 × 230,766.60
  4. Step 4: Simplify right side
    256,427.40x = 88,762,318,867.26
  5. Step 5: Solve for x
    x = 88,762,318,867.26/256,427.40
  6. Step 6: Final answer
    x = 346,149.90

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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.