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Finding the Fourth Proportional to 298,103.56, 411,388.20 and 162,140.47

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Solution

The fourth proportional to 298,103.56, 411,388.20 and 162,140.47 is: 223,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,103.56 : 411,388.20 = 162,140.47 : x
  2. Step 2: Convert to fraction form
    298,103.56/411,388.20 = 162,140.47/x
  3. Step 3: Cross multiply
    298,103.56x = 411,388.20 × 162,140.47
  4. Step 4: Simplify right side
    298,103.56x = 66,702,675,071.98
  5. Step 5: Solve for x
    x = 66,702,675,071.98/298,103.56
  6. Step 6: Final answer
    x = 223,756.72

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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.