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Finding the Fourth Proportional to 378,888.82, 522,858.58 and 206,801.08

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Solution

The fourth proportional to 378,888.82, 522,858.58 and 206,801.08 is: 285,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,888.82 : 522,858.58 = 206,801.08 : x
  2. Step 2: Convert to fraction form
    378,888.82/522,858.58 = 206,801.08/x
  3. Step 3: Cross multiply
    378,888.82x = 522,858.58 × 206,801.08
  4. Step 4: Simplify right side
    378,888.82x = 108,127,719,031.27
  5. Step 5: Solve for x
    x = 108,127,719,031.27/378,888.82
  6. Step 6: Final answer
    x = 285,381.13

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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.