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Finding the Fourth Proportional to 298,418.72, 411,873.04 and 171,095.20

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Solution

The fourth proportional to 298,418.72, 411,873.04 and 171,095.20 is: 236,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,418.72 : 411,873.04 = 171,095.20 : x
  2. Step 2: Convert to fraction form
    298,418.72/411,873.04 = 171,095.20/x
  3. Step 3: Cross multiply
    298,418.72x = 411,873.04 × 171,095.20
  4. Step 4: Simplify right side
    298,418.72x = 70,469,500,153.41
  5. Step 5: Solve for x
    x = 70,469,500,153.41/298,418.72
  6. Step 6: Final answer
    x = 236,143.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.