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Finding the Fourth Proportional to 209,687.70, 313,916.46 and 188,044.59

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Solution

The fourth proportional to 209,687.70, 313,916.46 and 188,044.59 is: 281,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,687.70 : 313,916.46 = 188,044.59 : x
  2. Step 2: Convert to fraction form
    209,687.70/313,916.46 = 188,044.59/x
  3. Step 3: Cross multiply
    209,687.70x = 313,916.46 × 188,044.59
  4. Step 4: Simplify right side
    209,687.70x = 59,030,292,014.95
  5. Step 5: Solve for x
    x = 59,030,292,014.95/209,687.70
  6. Step 6: Final answer
    x = 281,515.28

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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.