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Finding the Fourth Proportional to 409,571.64, 565,211.64 and 228,295.20

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Solution

The fourth proportional to 409,571.64, 565,211.64 and 228,295.20 is: 315,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,571.64 : 565,211.64 = 228,295.20 : x
  2. Step 2: Convert to fraction form
    409,571.64/565,211.64 = 228,295.20/x
  3. Step 3: Cross multiply
    409,571.64x = 565,211.64 × 228,295.20
  4. Step 4: Simplify right side
    409,571.64x = 129,035,104,396.13
  5. Step 5: Solve for x
    x = 129,035,104,396.13/409,571.64
  6. Step 6: Final answer
    x = 315,048.92

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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.