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Finding the Fourth Proportional to 209,825.80, 313,970.70 and 154,529.80

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Solution

The fourth proportional to 209,825.80, 313,970.70 and 154,529.80 is: 231,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,825.80 : 313,970.70 = 154,529.80 : x
  2. Step 2: Convert to fraction form
    209,825.80/313,970.70 = 154,529.80/x
  3. Step 3: Cross multiply
    209,825.80x = 313,970.70 × 154,529.80
  4. Step 4: Simplify right side
    209,825.80x = 48,517,829,476.86
  5. Step 5: Solve for x
    x = 48,517,829,476.86/209,825.80
  6. Step 6: Final answer
    x = 231,229.09

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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.