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Finding the Fourth Proportional to 378,248.66, 521,976.69 and 208,498.58

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Solution

The fourth proportional to 378,248.66, 521,976.69 and 208,498.58 is: 287,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,248.66 : 521,976.69 = 208,498.58 : x
  2. Step 2: Convert to fraction form
    378,248.66/521,976.69 = 208,498.58/x
  3. Step 3: Cross multiply
    378,248.66x = 521,976.69 × 208,498.58
  4. Step 4: Simplify right side
    378,248.66x = 108,831,398,658.10
  5. Step 5: Solve for x
    x = 108,831,398,658.10/378,248.66
  6. Step 6: Final answer
    x = 287,724.48

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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.