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Finding the Fourth Proportional to 298,398.89, 411,946.82 and 230,268.44

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Solution

The fourth proportional to 298,398.89, 411,946.82 and 230,268.44 is: 317,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,398.89 : 411,946.82 = 230,268.44 : x
  2. Step 2: Convert to fraction form
    298,398.89/411,946.82 = 230,268.44/x
  3. Step 3: Cross multiply
    298,398.89x = 411,946.82 × 230,268.44
  4. Step 4: Simplify right side
    298,398.89x = 94,858,348,393.28
  5. Step 5: Solve for x
    x = 94,858,348,393.28/298,398.89
  6. Step 6: Final answer
    x = 317,891.10

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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.