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Finding the Fourth Proportional to 409,773, 565,445.22 and 228,467.72

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Solution

The fourth proportional to 409,773, 565,445.22 and 228,467.72 is: 315,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,773 : 565,445.22 = 228,467.72 : x
  2. Step 2: Convert to fraction form
    409,773/565,445.22 = 228,467.72/x
  3. Step 3: Cross multiply
    409,773x = 565,445.22 × 228,467.72
  4. Step 4: Simplify right side
    409,773x = 129,185,980,198.30
  5. Step 5: Solve for x
    x = 129,185,980,198.30/409,773
  6. Step 6: Final answer
    x = 315,262.30

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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.