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Finding the Fourth Proportional to 513,110.40, 768,499.20 and 263,500.80

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Solution

The fourth proportional to 513,110.40, 768,499.20 and 263,500.80 is: 394,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,110.40 : 768,499.20 = 263,500.80 : x
  2. Step 2: Convert to fraction form
    513,110.40/768,499.20 = 263,500.80/x
  3. Step 3: Cross multiply
    513,110.40x = 768,499.20 × 263,500.80
  4. Step 4: Simplify right side
    513,110.40x = 202,500,153,999.36
  5. Step 5: Solve for x
    x = 202,500,153,999.36/513,110.40
  6. Step 6: Final answer
    x = 394,652.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.