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Finding the Fourth Proportional to 209,705.25, 314,246.73 and 154,029.09

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Solution

The fourth proportional to 209,705.25, 314,246.73 and 154,029.09 is: 230,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,705.25 : 314,246.73 = 154,029.09 : x
  2. Step 2: Convert to fraction form
    209,705.25/314,246.73 = 154,029.09/x
  3. Step 3: Cross multiply
    209,705.25x = 314,246.73 × 154,029.09
  4. Step 4: Simplify right side
    209,705.25x = 48,403,137,857.38
  5. Step 5: Solve for x
    x = 48,403,137,857.38/209,705.25
  6. Step 6: Final answer
    x = 230,815.10

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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.