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Finding the Fourth Proportional to 209,638.40, 313,766.40 and 162,636.80

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Solution

The fourth proportional to 209,638.40, 313,766.40 and 162,636.80 is: 243,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,638.40 : 313,766.40 = 162,636.80 : x
  2. Step 2: Convert to fraction form
    209,638.40/313,766.40 = 162,636.80/x
  3. Step 3: Cross multiply
    209,638.40x = 313,766.40 × 162,636.80
  4. Step 4: Simplify right side
    209,638.40x = 51,029,963,243.52
  5. Step 5: Solve for x
    x = 51,029,963,243.52/209,638.40
  6. Step 6: Final answer
    x = 243,418.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.