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Finding the Fourth Proportional to 289,705.25, 434,051.15 and 201,015.11

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Solution

The fourth proportional to 289,705.25, 434,051.15 and 201,015.11 is: 301,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,705.25 : 434,051.15 = 201,015.11 : x
  2. Step 2: Convert to fraction form
    289,705.25/434,051.15 = 201,015.11/x
  3. Step 3: Cross multiply
    289,705.25x = 434,051.15 × 201,015.11
  4. Step 4: Simplify right side
    289,705.25x = 87,250,839,662.88
  5. Step 5: Solve for x
    x = 87,250,839,662.88/289,705.25
  6. Step 6: Final answer
    x = 301,171.07

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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.