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Finding the Fourth Proportional to 298,994.60, 412,712.52 and 178,173.78

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Solution

The fourth proportional to 298,994.60, 412,712.52 and 178,173.78 is: 245,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,994.60 : 412,712.52 = 178,173.78 : x
  2. Step 2: Convert to fraction form
    298,994.60/412,712.52 = 178,173.78/x
  3. Step 3: Cross multiply
    298,994.60x = 412,712.52 × 178,173.78
  4. Step 4: Simplify right side
    298,994.60x = 73,534,549,741.73
  5. Step 5: Solve for x
    x = 73,534,549,741.73/298,994.60
  6. Step 6: Final answer
    x = 245,939.39

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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.