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Finding the Fourth Proportional to 378,308.40, 522,069.14 and 208,548.60

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Solution

The fourth proportional to 378,308.40, 522,069.14 and 208,548.60 is: 287,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,308.40 : 522,069.14 = 208,548.60 : x
  2. Step 2: Convert to fraction form
    378,308.40/522,069.14 = 208,548.60/x
  3. Step 3: Cross multiply
    378,308.40x = 522,069.14 × 208,548.60
  4. Step 4: Simplify right side
    378,308.40x = 108,876,788,250.20
  5. Step 5: Solve for x
    x = 108,876,788,250.20/378,308.40
  6. Step 6: Final answer
    x = 287,799.02

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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.