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Finding the Fourth Proportional to 378,907.55, 522,905.08 and 206,835.72

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Solution

The fourth proportional to 378,907.55, 522,905.08 and 206,835.72 is: 285,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,907.55 : 522,905.08 = 206,835.72 : x
  2. Step 2: Convert to fraction form
    378,907.55/522,905.08 = 206,835.72/x
  3. Step 3: Cross multiply
    378,907.55x = 522,905.08 × 206,835.72
  4. Step 4: Simplify right side
    378,907.55x = 108,155,448,713.46
  5. Step 5: Solve for x
    x = 108,155,448,713.46/378,907.55
  6. Step 6: Final answer
    x = 285,440.20

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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.