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Finding the Fourth Proportional to 298,420.94, 411,690.12 and 196,315.04

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Solution

The fourth proportional to 298,420.94, 411,690.12 and 196,315.04 is: 270,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,420.94 : 411,690.12 = 196,315.04 : x
  2. Step 2: Convert to fraction form
    298,420.94/411,690.12 = 196,315.04/x
  3. Step 3: Cross multiply
    298,420.94x = 411,690.12 × 196,315.04
  4. Step 4: Simplify right side
    298,420.94x = 80,820,962,375.40
  5. Step 5: Solve for x
    x = 80,820,962,375.40/298,420.94
  6. Step 6: Final answer
    x = 270,828.72

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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.