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Finding the Fourth Proportional to 409,772, 565,443.84 and 228,466.72

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Solution

The fourth proportional to 409,772, 565,443.84 and 228,466.72 is: 315,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,772 : 565,443.84 = 228,466.72 : x
  2. Step 2: Convert to fraction form
    409,772/565,443.84 = 228,466.72/x
  3. Step 3: Cross multiply
    409,772x = 565,443.84 × 228,466.72
  4. Step 4: Simplify right side
    409,772x = 129,185,099,469.01
  5. Step 5: Solve for x
    x = 129,185,099,469.01/409,772
  6. Step 6: Final answer
    x = 315,260.92

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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.