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Finding the Fourth Proportional to 298,994.67, 412,712.61 and 178,173.84

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Solution

The fourth proportional to 298,994.67, 412,712.61 and 178,173.84 is: 245,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,994.67 : 412,712.61 = 178,173.84 : x
  2. Step 2: Convert to fraction form
    298,994.67/412,712.61 = 178,173.84/x
  3. Step 3: Cross multiply
    298,994.67x = 412,712.61 × 178,173.84
  4. Step 4: Simplify right side
    298,994.67x = 73,534,590,540.12
  5. Step 5: Solve for x
    x = 73,534,590,540.12/298,994.67
  6. Step 6: Final answer
    x = 245,939.47

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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.