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Finding the Fourth Proportional to 209,273.40, 313,910.10 and 146,287.80

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Solution

The fourth proportional to 209,273.40, 313,910.10 and 146,287.80 is: 219,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,273.40 : 313,910.10 = 146,287.80 : x
  2. Step 2: Convert to fraction form
    209,273.40/313,910.10 = 146,287.80/x
  3. Step 3: Cross multiply
    209,273.40x = 313,910.10 × 146,287.80
  4. Step 4: Simplify right side
    209,273.40x = 45,921,217,926.78
  5. Step 5: Solve for x
    x = 45,921,217,926.78/209,273.40
  6. Step 6: Final answer
    x = 219,431.70

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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.