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Finding the Fourth Proportional to 298,376.69, 411,770.25 and 162,421.83

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Solution

The fourth proportional to 298,376.69, 411,770.25 and 162,421.83 is: 224,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,376.69 : 411,770.25 = 162,421.83 : x
  2. Step 2: Convert to fraction form
    298,376.69/411,770.25 = 162,421.83/x
  3. Step 3: Cross multiply
    298,376.69x = 411,770.25 × 162,421.83
  4. Step 4: Simplify right side
    298,376.69x = 66,880,477,544.56
  5. Step 5: Solve for x
    x = 66,880,477,544.56/298,376.69
  6. Step 6: Final answer
    x = 224,147.80

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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.