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Finding the Fourth Proportional to 378,886.32, 522,855.14 and 206,798.58

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Solution

The fourth proportional to 378,886.32, 522,855.14 and 206,798.58 is: 285,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,886.32 : 522,855.14 = 206,798.58 : x
  2. Step 2: Convert to fraction form
    378,886.32/522,855.14 = 206,798.58/x
  3. Step 3: Cross multiply
    378,886.32x = 522,855.14 × 206,798.58
  4. Step 4: Simplify right side
    378,886.32x = 108,125,699,463.71
  5. Step 5: Solve for x
    x = 108,125,699,463.71/378,886.32
  6. Step 6: Final answer
    x = 285,377.68

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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.