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Finding the Fourth Proportional to 419,540.64, 578,960.88 and 228,549.96

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Solution

The fourth proportional to 419,540.64, 578,960.88 and 228,549.96 is: 315,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,540.64 : 578,960.88 = 228,549.96 : x
  2. Step 2: Convert to fraction form
    419,540.64/578,960.88 = 228,549.96/x
  3. Step 3: Cross multiply
    419,540.64x = 578,960.88 × 228,549.96
  4. Step 4: Simplify right side
    419,540.64x = 132,321,485,965.57
  5. Step 5: Solve for x
    x = 132,321,485,965.57/419,540.64
  6. Step 6: Final answer
    x = 315,396.11

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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.