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Finding the Fourth Proportional to 338,202.18, 465,656.78 and 287,109

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Solution

The fourth proportional to 338,202.18, 465,656.78 and 287,109 is: 395,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,202.18 : 465,656.78 = 287,109 : x
  2. Step 2: Convert to fraction form
    338,202.18/465,656.78 = 287,109/x
  3. Step 3: Cross multiply
    338,202.18x = 465,656.78 × 287,109
  4. Step 4: Simplify right side
    338,202.18x = 133,694,251,013.48
  5. Step 5: Solve for x
    x = 133,694,251,013.48/338,202.18
  6. Step 6: Final answer
    x = 395,308.66

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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.