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Finding the Fourth Proportional to 378,293.02, 522,018.27 and 212,745.74

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Solution

The fourth proportional to 378,293.02, 522,018.27 and 212,745.74 is: 293,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,293.02 : 522,018.27 = 212,745.74 : x
  2. Step 2: Convert to fraction form
    378,293.02/522,018.27 = 212,745.74/x
  3. Step 3: Cross multiply
    378,293.02x = 522,018.27 × 212,745.74
  4. Step 4: Simplify right side
    378,293.02x = 111,057,159,470.85
  5. Step 5: Solve for x
    x = 111,057,159,470.85/378,293.02
  6. Step 6: Final answer
    x = 293,574.44

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1.5x scale

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.