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Finding the Fourth Proportional to 378,265.86, 522,006.90 and 208,503.66

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Solution

The fourth proportional to 378,265.86, 522,006.90 and 208,503.66 is: 287,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,265.86 : 522,006.90 = 208,503.66 : x
  2. Step 2: Convert to fraction form
    378,265.86/522,006.90 = 208,503.66/x
  3. Step 3: Cross multiply
    378,265.86x = 522,006.90 × 208,503.66
  4. Step 4: Simplify right side
    378,265.86x = 108,840,349,195.25
  5. Step 5: Solve for x
    x = 108,840,349,195.25/378,265.86
  6. Step 6: Final answer
    x = 287,735.06

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1.5x scale

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.