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Finding the Fourth Proportional to 565,616.43, 780,329.85 and 323,769.78

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Solution

The fourth proportional to 565,616.43, 780,329.85 and 323,769.78 is: 446,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,616.43 : 780,329.85 = 323,769.78 : x
  2. Step 2: Convert to fraction form
    565,616.43/780,329.85 = 323,769.78/x
  3. Step 3: Cross multiply
    565,616.43x = 780,329.85 × 323,769.78
  4. Step 4: Simplify right side
    565,616.43x = 252,647,223,861.93
  5. Step 5: Solve for x
    x = 252,647,223,861.93/565,616.43
  6. Step 6: Final answer
    x = 446,675.89

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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.