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Finding the Fourth Proportional to 378,284.68, 522,034.50 and 208,515.16

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Solution

The fourth proportional to 378,284.68, 522,034.50 and 208,515.16 is: 287,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,284.68 : 522,034.50 = 208,515.16 : x
  2. Step 2: Convert to fraction form
    378,284.68/522,034.50 = 208,515.16/x
  3. Step 3: Cross multiply
    378,284.68x = 522,034.50 × 208,515.16
  4. Step 4: Simplify right side
    378,284.68x = 108,852,107,293.02
  5. Step 5: Solve for x
    x = 108,852,107,293.02/378,284.68
  6. Step 6: Final answer
    x = 287,751.83

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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.