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Finding the Fourth Proportional to 409,954.20, 565,735.32 and 228,666

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Solution

The fourth proportional to 409,954.20, 565,735.32 and 228,666 is: 315,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,954.20 : 565,735.32 = 228,666 : x
  2. Step 2: Convert to fraction form
    409,954.20/565,735.32 = 228,666/x
  3. Step 3: Cross multiply
    409,954.20x = 565,735.32 × 228,666
  4. Step 4: Simplify right side
    409,954.20x = 129,364,432,683.12
  5. Step 5: Solve for x
    x = 129,364,432,683.12/409,954.20
  6. Step 6: Final answer
    x = 315,558.26

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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.