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Finding the Fourth Proportional to 274,543.20, 411,620.40 and 105,998.40

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Solution

The fourth proportional to 274,543.20, 411,620.40 and 105,998.40 is: 158,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,543.20 : 411,620.40 = 105,998.40 : x
  2. Step 2: Convert to fraction form
    274,543.20/411,620.40 = 105,998.40/x
  3. Step 3: Cross multiply
    274,543.20x = 411,620.40 × 105,998.40
  4. Step 4: Simplify right side
    274,543.20x = 43,631,103,807.36
  5. Step 5: Solve for x
    x = 43,631,103,807.36/274,543.20
  6. Step 6: Final answer
    x = 158,922.54

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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.