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Finding the Fourth Proportional to 298,409.76, 411,792.60 and 162,443.92

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Solution

The fourth proportional to 298,409.76, 411,792.60 and 162,443.92 is: 224,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,409.76 : 411,792.60 = 162,443.92 : x
  2. Step 2: Convert to fraction form
    298,409.76/411,792.60 = 162,443.92/x
  3. Step 3: Cross multiply
    298,409.76x = 411,792.60 × 162,443.92
  4. Step 4: Simplify right side
    298,409.76x = 66,893,204,170.99
  5. Step 5: Solve for x
    x = 66,893,204,170.99/298,409.76
  6. Step 6: Final answer
    x = 224,165.60

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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.