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Finding the Fourth Proportional to 378,355.80, 522,134.56 and 208,596

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Solution

The fourth proportional to 378,355.80, 522,134.56 and 208,596 is: 287,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,355.80 : 522,134.56 = 208,596 : x
  2. Step 2: Convert to fraction form
    378,355.80/522,134.56 = 208,596/x
  3. Step 3: Cross multiply
    378,355.80x = 522,134.56 × 208,596
  4. Step 4: Simplify right side
    378,355.80x = 108,915,180,677.76
  5. Step 5: Solve for x
    x = 108,915,180,677.76/378,355.80
  6. Step 6: Final answer
    x = 287,864.44

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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.