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Finding the Fourth Proportional to 298,666.60, 447,994.14 and 74,027.50

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Solution

The fourth proportional to 298,666.60, 447,994.14 and 74,027.50 is: 111,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,666.60 : 447,994.14 = 74,027.50 : x
  2. Step 2: Convert to fraction form
    298,666.60/447,994.14 = 74,027.50/x
  3. Step 3: Cross multiply
    298,666.60x = 447,994.14 × 74,027.50
  4. Step 4: Simplify right side
    298,666.60x = 33,163,886,198.85
  5. Step 5: Solve for x
    x = 33,163,886,198.85/298,666.60
  6. Step 6: Final answer
    x = 111,039.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.