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Finding the Fourth Proportional to 298,418.88, 447,497.04 and 158,144.68

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Solution

The fourth proportional to 298,418.88, 447,497.04 and 158,144.68 is: 237,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,418.88 : 447,497.04 = 158,144.68 : x
  2. Step 2: Convert to fraction form
    298,418.88/447,497.04 = 158,144.68/x
  3. Step 3: Cross multiply
    298,418.88x = 447,497.04 × 158,144.68
  4. Step 4: Simplify right side
    298,418.88x = 70,769,276,191.75
  5. Step 5: Solve for x
    x = 70,769,276,191.75/298,418.88
  6. Step 6: Final answer
    x = 237,147.45

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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.