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Finding the Fourth Proportional to 680,505, 939,096.90 and 378,699.24

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Solution

The fourth proportional to 680,505, 939,096.90 and 378,699.24 is: 522,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,505 : 939,096.90 = 378,699.24 : x
  2. Step 2: Convert to fraction form
    680,505/939,096.90 = 378,699.24/x
  3. Step 3: Cross multiply
    680,505x = 939,096.90 × 378,699.24
  4. Step 4: Simplify right side
    680,505x = 355,635,282,316.36
  5. Step 5: Solve for x
    x = 355,635,282,316.36/680,505
  6. Step 6: Final answer
    x = 522,604.95

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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.