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Finding the Fourth Proportional to 298,149.86, 447,054.85 and 203,494.63

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Solution

The fourth proportional to 298,149.86, 447,054.85 and 203,494.63 is: 305,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,149.86 : 447,054.85 = 203,494.63 : x
  2. Step 2: Convert to fraction form
    298,149.86/447,054.85 = 203,494.63/x
  3. Step 3: Cross multiply
    298,149.86x = 447,054.85 × 203,494.63
  4. Step 4: Simplify right side
    298,149.86x = 90,973,260,120.76
  5. Step 5: Solve for x
    x = 90,973,260,120.76/298,149.86
  6. Step 6: Final answer
    x = 305,125.95

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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.