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Finding the Fourth Proportional to 298,077.12, 411,065.24 and 195,922.08

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Solution

The fourth proportional to 298,077.12, 411,065.24 and 195,922.08 is: 270,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,077.12 : 411,065.24 = 195,922.08 : x
  2. Step 2: Convert to fraction form
    298,077.12/411,065.24 = 195,922.08/x
  3. Step 3: Cross multiply
    298,077.12x = 411,065.24 × 195,922.08
  4. Step 4: Simplify right side
    298,077.12x = 80,536,756,836.50
  5. Step 5: Solve for x
    x = 80,536,756,836.50/298,077.12
  6. Step 6: Final answer
    x = 270,187.65

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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.