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Finding the Fourth Proportional to 298,419.63, 411,806.48 and 162,450.75

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Solution

The fourth proportional to 298,419.63, 411,806.48 and 162,450.75 is: 224,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,419.63 : 411,806.48 = 162,450.75 : x
  2. Step 2: Convert to fraction form
    298,419.63/411,806.48 = 162,450.75/x
  3. Step 3: Cross multiply
    298,419.63x = 411,806.48 × 162,450.75
  4. Step 4: Simplify right side
    298,419.63x = 66,898,270,718.61
  5. Step 5: Solve for x
    x = 66,898,270,718.61/298,419.63
  6. Step 6: Final answer
    x = 224,175.17

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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.