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Finding the Fourth Proportional to 298,396.71, 411,874.42 and 195,045.92

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Solution

The fourth proportional to 298,396.71, 411,874.42 and 195,045.92 is: 269,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,396.71 : 411,874.42 = 195,045.92 : x
  2. Step 2: Convert to fraction form
    298,396.71/411,874.42 = 195,045.92/x
  3. Step 3: Cross multiply
    298,396.71x = 411,874.42 × 195,045.92
  4. Step 4: Simplify right side
    298,396.71x = 80,334,426,853.41
  5. Step 5: Solve for x
    x = 80,334,426,853.41/298,396.71
  6. Step 6: Final answer
    x = 269,220.22

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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.