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Finding the Fourth Proportional to 209,704.25, 314,245.23 and 154,028.09

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Solution

The fourth proportional to 209,704.25, 314,245.23 and 154,028.09 is: 230,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,704.25 : 314,245.23 = 154,028.09 : x
  2. Step 2: Convert to fraction form
    209,704.25/314,245.23 = 154,028.09/x
  3. Step 3: Cross multiply
    209,704.25x = 314,245.23 × 154,028.09
  4. Step 4: Simplify right side
    209,704.25x = 48,402,592,568.51
  5. Step 5: Solve for x
    x = 48,402,592,568.51/209,704.25
  6. Step 6: Final answer
    x = 230,813.60

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1.5x scale

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.