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Finding the Fourth Proportional to 209,306.70, 313,960.05 and 190,935.90

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Solution

The fourth proportional to 209,306.70, 313,960.05 and 190,935.90 is: 286,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,306.70 : 313,960.05 = 190,935.90 : x
  2. Step 2: Convert to fraction form
    209,306.70/313,960.05 = 190,935.90/x
  3. Step 3: Cross multiply
    209,306.70x = 313,960.05 × 190,935.90
  4. Step 4: Simplify right side
    209,306.70x = 59,946,244,710.80
  5. Step 5: Solve for x
    x = 59,946,244,710.80/209,306.70
  6. Step 6: Final answer
    x = 286,403.85

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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.