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Finding the Fourth Proportional to 378,293.26, 522,018.61 and 212,745.98

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Solution

The fourth proportional to 378,293.26, 522,018.61 and 212,745.98 is: 293,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,293.26 : 522,018.61 = 212,745.98 : x
  2. Step 2: Convert to fraction form
    378,293.26/522,018.61 = 212,745.98/x
  3. Step 3: Cross multiply
    378,293.26x = 522,018.61 × 212,745.98
  4. Step 4: Simplify right side
    378,293.26x = 111,057,360,762.69
  5. Step 5: Solve for x
    x = 111,057,360,762.69/378,293.26
  6. Step 6: Final answer
    x = 293,574.78

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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.