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Finding the Fourth Proportional to 298,634.40, 447,778.80 and 111,664.80

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Solution

The fourth proportional to 298,634.40, 447,778.80 and 111,664.80 is: 167,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,634.40 : 447,778.80 = 111,664.80 : x
  2. Step 2: Convert to fraction form
    298,634.40/447,778.80 = 111,664.80/x
  3. Step 3: Cross multiply
    298,634.40x = 447,778.80 × 111,664.80
  4. Step 4: Simplify right side
    298,634.40x = 50,001,130,146.24
  5. Step 5: Solve for x
    x = 50,001,130,146.24/298,634.40
  6. Step 6: Final answer
    x = 167,432.59

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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.