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Finding the Fourth Proportional to 409,893.77, 565,654.40 and 228,617.44

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Solution

The fourth proportional to 409,893.77, 565,654.40 and 228,617.44 is: 315,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,893.77 : 565,654.40 = 228,617.44 : x
  2. Step 2: Convert to fraction form
    409,893.77/565,654.40 = 228,617.44/x
  3. Step 3: Cross multiply
    409,893.77x = 565,654.40 × 228,617.44
  4. Step 4: Simplify right side
    409,893.77x = 129,318,458,867.06
  5. Step 5: Solve for x
    x = 129,318,458,867.06/409,893.77
  6. Step 6: Final answer
    x = 315,492.62

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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.