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Finding the Fourth Proportional to 565,491.50, 780,379.89 and 323,777.78

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Solution

The fourth proportional to 565,491.50, 780,379.89 and 323,777.78 is: 446,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,491.50 : 780,379.89 = 323,777.78 : x
  2. Step 2: Convert to fraction form
    565,491.50/780,379.89 = 323,777.78/x
  3. Step 3: Cross multiply
    565,491.50x = 780,379.89 × 323,777.78
  4. Step 4: Simplify right side
    565,491.50x = 252,669,668,340.84
  5. Step 5: Solve for x
    x = 252,669,668,340.84/565,491.50
  6. Step 6: Final answer
    x = 446,814.26

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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.