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Finding the Fourth Proportional to 298,071.70, 411,342.50 and 162,109.05

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Solution

The fourth proportional to 298,071.70, 411,342.50 and 162,109.05 is: 223,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,071.70 : 411,342.50 = 162,109.05 : x
  2. Step 2: Convert to fraction form
    298,071.70/411,342.50 = 162,109.05/x
  3. Step 3: Cross multiply
    298,071.70x = 411,342.50 × 162,109.05
  4. Step 4: Simplify right side
    298,071.70x = 66,682,340,762.36
  5. Step 5: Solve for x
    x = 66,682,340,762.36/298,071.70
  6. Step 6: Final answer
    x = 223,712.42

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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.