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Finding the Fourth Proportional to 378,265.41, 522,009.77 and 208,505.61

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Solution

The fourth proportional to 378,265.41, 522,009.77 and 208,505.61 is: 287,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,265.41 : 522,009.77 = 208,505.61 : x
  2. Step 2: Convert to fraction form
    378,265.41/522,009.77 = 208,505.61/x
  3. Step 3: Cross multiply
    378,265.41x = 522,009.77 × 208,505.61
  4. Step 4: Simplify right side
    378,265.41x = 108,841,964,477.28
  5. Step 5: Solve for x
    x = 108,841,964,477.28/378,265.41
  6. Step 6: Final answer
    x = 287,739.67

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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.