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Finding the Fourth Proportional to 378,893.52, 522,869.72 and 209,124

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Solution

The fourth proportional to 378,893.52, 522,869.72 and 209,124 is: 288,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,893.52 : 522,869.72 = 209,124 : x
  2. Step 2: Convert to fraction form
    378,893.52/522,869.72 = 209,124/x
  3. Step 3: Cross multiply
    378,893.52x = 522,869.72 × 209,124
  4. Step 4: Simplify right side
    378,893.52x = 109,344,606,279.66
  5. Step 5: Solve for x
    x = 109,344,606,279.66/378,893.52
  6. Step 6: Final answer
    x = 288,589.28

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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.