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Finding the Fourth Proportional to 513,817.65, 769,729.48 and 378,636.48

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Solution

The fourth proportional to 513,817.65, 769,729.48 and 378,636.48 is: 567,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,817.65 : 769,729.48 = 378,636.48 : x
  2. Step 2: Convert to fraction form
    513,817.65/769,729.48 = 378,636.48/x
  3. Step 3: Cross multiply
    513,817.65x = 769,729.48 × 378,636.48
  4. Step 4: Simplify right side
    513,817.65x = 291,447,660,859.43
  5. Step 5: Solve for x
    x = 291,447,660,859.43/513,817.65
  6. Step 6: Final answer
    x = 567,220.03

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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.