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Finding the Fourth Proportional to 298,981.78, 414,375.88 and 293,383.06

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Solution

The fourth proportional to 298,981.78, 414,375.88 and 293,383.06 is: 406,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,981.78 : 414,375.88 = 293,383.06 : x
  2. Step 2: Convert to fraction form
    298,981.78/414,375.88 = 293,383.06/x
  3. Step 3: Cross multiply
    298,981.78x = 414,375.88 × 293,383.06
  4. Step 4: Simplify right side
    298,981.78x = 121,570,863,664.59
  5. Step 5: Solve for x
    x = 121,570,863,664.59/298,981.78
  6. Step 6: Final answer
    x = 406,616.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.