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Finding the Fourth Proportional to 209,693.78, 314,229.62 and 154,017.62

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Solution

The fourth proportional to 209,693.78, 314,229.62 and 154,017.62 is: 230,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,693.78 : 314,229.62 = 154,017.62 : x
  2. Step 2: Convert to fraction form
    209,693.78/314,229.62 = 154,017.62/x
  3. Step 3: Cross multiply
    209,693.78x = 314,229.62 × 154,017.62
  4. Step 4: Simplify right side
    209,693.78x = 48,396,895,864.67
  5. Step 5: Solve for x
    x = 48,396,895,864.67/209,693.78
  6. Step 6: Final answer
    x = 230,797.96

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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.