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Finding the Fourth Proportional to 378,402.16, 522,194.34 and 208,636.78

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Solution

The fourth proportional to 378,402.16, 522,194.34 and 208,636.78 is: 287,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,402.16 : 522,194.34 = 208,636.78 : x
  2. Step 2: Convert to fraction form
    378,402.16/522,194.34 = 208,636.78/x
  3. Step 3: Cross multiply
    378,402.16x = 522,194.34 × 208,636.78
  4. Step 4: Simplify right side
    378,402.16x = 108,948,945,631.83
  5. Step 5: Solve for x
    x = 108,948,945,631.83/378,402.16
  6. Step 6: Final answer
    x = 287,918.40

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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.