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Finding the Fourth Proportional to 299,392.88, 412,460.34 and 208,584.58

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Solution

The fourth proportional to 299,392.88, 412,460.34 and 208,584.58 is: 287,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,392.88 : 412,460.34 = 208,584.58 : x
  2. Step 2: Convert to fraction form
    299,392.88/412,460.34 = 208,584.58/x
  3. Step 3: Cross multiply
    299,392.88x = 412,460.34 × 208,584.58
  4. Step 4: Simplify right side
    299,392.88x = 86,032,866,785.56
  5. Step 5: Solve for x
    x = 86,032,866,785.56/299,392.88
  6. Step 6: Final answer
    x = 287,357.76

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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.