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Finding the Fourth Proportional to 409,944.57, 565,722 and 228,656.34

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Solution

The fourth proportional to 409,944.57, 565,722 and 228,656.34 is: 315,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,944.57 : 565,722 = 228,656.34 : x
  2. Step 2: Convert to fraction form
    409,944.57/565,722 = 228,656.34/x
  3. Step 3: Cross multiply
    409,944.57x = 565,722 × 228,656.34
  4. Step 4: Simplify right side
    409,944.57x = 129,355,921,977.48
  5. Step 5: Solve for x
    x = 129,355,921,977.48/409,944.57
  6. Step 6: Final answer
    x = 315,544.91

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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.