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Finding the Fourth Proportional to 378,779.45, 522,726.76 and 206,708.52

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Solution

The fourth proportional to 378,779.45, 522,726.76 and 206,708.52 is: 285,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,779.45 : 522,726.76 = 206,708.52 : x
  2. Step 2: Convert to fraction form
    378,779.45/522,726.76 = 206,708.52/x
  3. Step 3: Cross multiply
    378,779.45x = 522,726.76 × 206,708.52
  4. Step 4: Simplify right side
    378,779.45x = 108,052,074,924.00
  5. Step 5: Solve for x
    x = 108,052,074,924.00/378,779.45
  6. Step 6: Final answer
    x = 285,263.83

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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.