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Finding the Fourth Proportional to 298,335.12, 411,753.60 and 190,899.96

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Solution

The fourth proportional to 298,335.12, 411,753.60 and 190,899.96 is: 263,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,335.12 : 411,753.60 = 190,899.96 : x
  2. Step 2: Convert to fraction form
    298,335.12/411,753.60 = 190,899.96/x
  3. Step 3: Cross multiply
    298,335.12x = 411,753.60 × 190,899.96
  4. Step 4: Simplify right side
    298,335.12x = 78,603,745,769.86
  5. Step 5: Solve for x
    x = 78,603,745,769.86/298,335.12
  6. Step 6: Final answer
    x = 263,474.66

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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.