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Finding the Fourth Proportional to 298,188.63, 447,380.15 and 140,433.03

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Solution

The fourth proportional to 298,188.63, 447,380.15 and 140,433.03 is: 210,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,188.63 : 447,380.15 = 140,433.03 : x
  2. Step 2: Convert to fraction form
    298,188.63/447,380.15 = 140,433.03/x
  3. Step 3: Cross multiply
    298,188.63x = 447,380.15 × 140,433.03
  4. Step 4: Simplify right side
    298,188.63x = 62,826,949,324.19
  5. Step 5: Solve for x
    x = 62,826,949,324.19/298,188.63
  6. Step 6: Final answer
    x = 210,695.32

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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.