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Finding the Fourth Proportional to 378,816.36, 522,779.13 and 206,743.74

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Solution

The fourth proportional to 378,816.36, 522,779.13 and 206,743.74 is: 285,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,816.36 : 522,779.13 = 206,743.74 : x
  2. Step 2: Convert to fraction form
    378,816.36/522,779.13 = 206,743.74/x
  3. Step 3: Cross multiply
    378,816.36x = 522,779.13 × 206,743.74
  4. Step 4: Simplify right side
    378,816.36x = 108,081,312,530.15
  5. Step 5: Solve for x
    x = 108,081,312,530.15/378,816.36
  6. Step 6: Final answer
    x = 285,313.21

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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.