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Finding the Fourth Proportional to 298,497.67, 411,906 and 169,438.75

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Solution

The fourth proportional to 298,497.67, 411,906 and 169,438.75 is: 233,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,497.67 : 411,906 = 169,438.75 : x
  2. Step 2: Convert to fraction form
    298,497.67/411,906 = 169,438.75/x
  3. Step 3: Cross multiply
    298,497.67x = 411,906 × 169,438.75
  4. Step 4: Simplify right side
    298,497.67x = 69,792,837,757.50
  5. Step 5: Solve for x
    x = 69,792,837,757.50/298,497.67
  6. Step 6: Final answer
    x = 233,813.68

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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.