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Finding the Fourth Proportional to 409,659.90, 565,372.62 and 228,401.34

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Solution

The fourth proportional to 409,659.90, 565,372.62 and 228,401.34 is: 315,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,659.90 : 565,372.62 = 228,401.34 : x
  2. Step 2: Convert to fraction form
    409,659.90/565,372.62 = 228,401.34/x
  3. Step 3: Cross multiply
    409,659.90x = 565,372.62 × 228,401.34
  4. Step 4: Simplify right side
    409,659.90x = 129,131,864,007.31
  5. Step 5: Solve for x
    x = 129,131,864,007.31/409,659.90
  6. Step 6: Final answer
    x = 315,217.24

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1.5x scale

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.