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Finding the Fourth Proportional to 409,858.90, 565,604.16 and 228,571.02

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Solution

The fourth proportional to 409,858.90, 565,604.16 and 228,571.02 is: 315,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,858.90 : 565,604.16 = 228,571.02 : x
  2. Step 2: Convert to fraction form
    409,858.90/565,604.16 = 228,571.02/x
  3. Step 3: Cross multiply
    409,858.90x = 565,604.16 × 228,571.02
  4. Step 4: Simplify right side
    409,858.90x = 129,280,719,767.44
  5. Step 5: Solve for x
    x = 129,280,719,767.44/409,858.90
  6. Step 6: Final answer
    x = 315,427.38

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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.