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Finding the Fourth Proportional to 369,843.33, 510,396.89 and 208,688.97

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Solution

The fourth proportional to 369,843.33, 510,396.89 and 208,688.97 is: 287,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,843.33 : 510,396.89 = 208,688.97 : x
  2. Step 2: Convert to fraction form
    369,843.33/510,396.89 = 208,688.97/x
  3. Step 3: Cross multiply
    369,843.33x = 510,396.89 × 208,688.97
  4. Step 4: Simplify right side
    369,843.33x = 106,514,200,221.86
  5. Step 5: Solve for x
    x = 106,514,200,221.86/369,843.33
  6. Step 6: Final answer
    x = 287,998.16

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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.