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Finding the Fourth Proportional to 298,199.82, 411,485.02 and 177,317.75

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Solution

The fourth proportional to 298,199.82, 411,485.02 and 177,317.75 is: 244,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,199.82 : 411,485.02 = 177,317.75 : x
  2. Step 2: Convert to fraction form
    298,199.82/411,485.02 = 177,317.75/x
  3. Step 3: Cross multiply
    298,199.82x = 411,485.02 × 177,317.75
  4. Step 4: Simplify right side
    298,199.82x = 72,963,597,905.11
  5. Step 5: Solve for x
    x = 72,963,597,905.11/298,199.82
  6. Step 6: Final answer
    x = 244,680.22

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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.