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Finding the Fourth Proportional to 309,817.72, 427,687.14 and 189,007.14

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Solution

The fourth proportional to 309,817.72, 427,687.14 and 189,007.14 is: 260,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,817.72 : 427,687.14 = 189,007.14 : x
  2. Step 2: Convert to fraction form
    309,817.72/427,687.14 = 189,007.14/x
  3. Step 3: Cross multiply
    309,817.72x = 427,687.14 × 189,007.14
  4. Step 4: Simplify right side
    309,817.72x = 80,835,924,395.62
  5. Step 5: Solve for x
    x = 80,835,924,395.62/309,817.72
  6. Step 6: Final answer
    x = 260,914.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.