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Finding the Fourth Proportional to 378,969.80, 522,975.78 and 209,203.88

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Solution

The fourth proportional to 378,969.80, 522,975.78 and 209,203.88 is: 288,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,969.80 : 522,975.78 = 209,203.88 : x
  2. Step 2: Convert to fraction form
    378,969.80/522,975.78 = 209,203.88/x
  3. Step 3: Cross multiply
    378,969.80x = 522,975.78 × 209,203.88
  4. Step 4: Simplify right side
    378,969.80x = 109,408,562,322.03
  5. Step 5: Solve for x
    x = 109,408,562,322.03/378,969.80
  6. Step 6: Final answer
    x = 288,699.95

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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.