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Finding the Fourth Proportional to 409,894.30, 565,655.13 and 228,617.97

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Solution

The fourth proportional to 409,894.30, 565,655.13 and 228,617.97 is: 315,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,894.30 : 565,655.13 = 228,617.97 : x
  2. Step 2: Convert to fraction form
    409,894.30/565,655.13 = 228,617.97/x
  3. Step 3: Cross multiply
    409,894.30x = 565,655.13 × 228,617.97
  4. Step 4: Simplify right side
    409,894.30x = 129,318,927,540.69
  5. Step 5: Solve for x
    x = 129,318,927,540.69/409,894.30
  6. Step 6: Final answer
    x = 315,493.36

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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.