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Finding the Fourth Proportional to 378,297.66, 522,054.36 and 208,537.86

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Solution

The fourth proportional to 378,297.66, 522,054.36 and 208,537.86 is: 287,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,297.66 : 522,054.36 = 208,537.86 : x
  2. Step 2: Convert to fraction form
    378,297.66/522,054.36 = 208,537.86/x
  3. Step 3: Cross multiply
    378,297.66x = 522,054.36 × 208,537.86
  4. Step 4: Simplify right side
    378,297.66x = 108,868,099,038.07
  5. Step 5: Solve for x
    x = 108,868,099,038.07/378,297.66
  6. Step 6: Final answer
    x = 287,784.23

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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.