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Finding the Fourth Proportional to 298,657.24, 447,830.34 and 140,843.32

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Solution

The fourth proportional to 298,657.24, 447,830.34 and 140,843.32 is: 211,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,657.24 : 447,830.34 = 140,843.32 : x
  2. Step 2: Convert to fraction form
    298,657.24/447,830.34 = 140,843.32/x
  3. Step 3: Cross multiply
    298,657.24x = 447,830.34 × 140,843.32
  4. Step 4: Simplify right side
    298,657.24x = 63,073,911,882.33
  5. Step 5: Solve for x
    x = 63,073,911,882.33/298,657.24
  6. Step 6: Final answer
    x = 211,191.64

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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.