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Finding the Fourth Proportional to 378,967.29, 522,961.16 and 209,197.77

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Solution

The fourth proportional to 378,967.29, 522,961.16 and 209,197.77 is: 288,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,967.29 : 522,961.16 = 209,197.77 : x
  2. Step 2: Convert to fraction form
    378,967.29/522,961.16 = 209,197.77/x
  3. Step 3: Cross multiply
    378,967.29x = 522,961.16 × 209,197.77
  4. Step 4: Simplify right side
    378,967.29x = 109,402,307,422.62
  5. Step 5: Solve for x
    x = 109,402,307,422.62/378,967.29
  6. Step 6: Final answer
    x = 288,685.36

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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.