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Finding the Fourth Proportional to 378,940.59, 522,936.95 and 209,173.50

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Solution

The fourth proportional to 378,940.59, 522,936.95 and 209,173.50 is: 288,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,940.59 : 522,936.95 = 209,173.50 : x
  2. Step 2: Convert to fraction form
    378,940.59/522,936.95 = 209,173.50/x
  3. Step 3: Cross multiply
    378,940.59x = 522,936.95 × 209,173.50
  4. Step 4: Simplify right side
    378,940.59x = 109,384,551,064.96
  5. Step 5: Solve for x
    x = 109,384,551,064.96/378,940.59
  6. Step 6: Final answer
    x = 288,658.84

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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.