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Finding the Fourth Proportional to 221,318.16, 305,442.71 and 135,327.54

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Solution

The fourth proportional to 221,318.16, 305,442.71 and 135,327.54 is: 186,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,318.16 : 305,442.71 = 135,327.54 : x
  2. Step 2: Convert to fraction form
    221,318.16/305,442.71 = 135,327.54/x
  3. Step 3: Cross multiply
    221,318.16x = 305,442.71 × 135,327.54
  4. Step 4: Simplify right side
    221,318.16x = 41,334,810,893.55
  5. Step 5: Solve for x
    x = 41,334,810,893.55/221,318.16
  6. Step 6: Final answer
    x = 186,766.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.