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Finding the Fourth Proportional to 409,758.85, 565,469.30 and 228,478.42

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Solution

The fourth proportional to 409,758.85, 565,469.30 and 228,478.42 is: 315,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,758.85 : 565,469.30 = 228,478.42 : x
  2. Step 2: Convert to fraction form
    409,758.85/565,469.30 = 228,478.42/x
  3. Step 3: Cross multiply
    409,758.85x = 565,469.30 × 228,478.42
  4. Step 4: Simplify right side
    409,758.85x = 129,197,533,500.54
  5. Step 5: Solve for x
    x = 129,197,533,500.54/409,758.85
  6. Step 6: Final answer
    x = 315,301.39

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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.