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Finding the Fourth Proportional to 701,022.74, 967,410.18 and 378,731.84

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Solution

The fourth proportional to 701,022.74, 967,410.18 and 378,731.84 is: 522,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,022.74 : 967,410.18 = 378,731.84 : x
  2. Step 2: Convert to fraction form
    701,022.74/967,410.18 = 378,731.84/x
  3. Step 3: Cross multiply
    701,022.74x = 967,410.18 × 378,731.84
  4. Step 4: Simplify right side
    701,022.74x = 366,389,032,669.08
  5. Step 5: Solve for x
    x = 366,389,032,669.08/701,022.74
  6. Step 6: Final answer
    x = 522,649.29

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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.