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Finding the Fourth Proportional to 438,549.64, 658,086.90 and 189,231.64

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Solution

The fourth proportional to 438,549.64, 658,086.90 and 189,231.64 is: 283,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,549.64 : 658,086.90 = 189,231.64 : x
  2. Step 2: Convert to fraction form
    438,549.64/658,086.90 = 189,231.64/x
  3. Step 3: Cross multiply
    438,549.64x = 658,086.90 × 189,231.64
  4. Step 4: Simplify right side
    438,549.64x = 124,530,864,172.13
  5. Step 5: Solve for x
    x = 124,530,864,172.13/438,549.64
  6. Step 6: Final answer
    x = 283,960.70

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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.