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Finding the Fourth Proportional to 298,379.09, 411,774.01 and 162,406.47

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Solution

The fourth proportional to 298,379.09, 411,774.01 and 162,406.47 is: 224,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,379.09 : 411,774.01 = 162,406.47 : x
  2. Step 2: Convert to fraction form
    298,379.09/411,774.01 = 162,406.47/x
  3. Step 3: Cross multiply
    298,379.09x = 411,774.01 × 162,406.47
  4. Step 4: Simplify right side
    298,379.09x = 66,874,763,401.84
  5. Step 5: Solve for x
    x = 66,874,763,401.84/298,379.09
  6. Step 6: Final answer
    x = 224,126.84

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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.