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Finding the Fourth Proportional to 298,087.28, 411,362.16 and 162,122.84

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Solution

The fourth proportional to 298,087.28, 411,362.16 and 162,122.84 is: 223,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,087.28 : 411,362.16 = 162,122.84 : x
  2. Step 2: Convert to fraction form
    298,087.28/411,362.16 = 162,122.84/x
  3. Step 3: Cross multiply
    298,087.28x = 411,362.16 × 162,122.84
  4. Step 4: Simplify right side
    298,087.28x = 66,691,201,647.73
  5. Step 5: Solve for x
    x = 66,691,201,647.73/298,087.28
  6. Step 6: Final answer
    x = 223,730.45

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1.5x scale

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.