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Finding the Fourth Proportional to 378,860.56, 522,826.50 and 209,093.47

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Solution

The fourth proportional to 378,860.56, 522,826.50 and 209,093.47 is: 288,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,860.56 : 522,826.50 = 209,093.47 : x
  2. Step 2: Convert to fraction form
    378,860.56/522,826.50 = 209,093.47/x
  3. Step 3: Cross multiply
    378,860.56x = 522,826.50 × 209,093.47
  4. Step 4: Simplify right side
    378,860.56x = 109,319,607,092.96
  5. Step 5: Solve for x
    x = 109,319,607,092.96/378,860.56
  6. Step 6: Final answer
    x = 288,548.40

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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.