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Finding the Fourth Proportional to 200,507.31, 301,231.26 and 189,158.63

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Solution

The fourth proportional to 200,507.31, 301,231.26 and 189,158.63 is: 284,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,507.31 : 301,231.26 = 189,158.63 : x
  2. Step 2: Convert to fraction form
    200,507.31/301,231.26 = 189,158.63/x
  3. Step 3: Cross multiply
    200,507.31x = 301,231.26 × 189,158.63
  4. Step 4: Simplify right side
    200,507.31x = 56,980,490,948.62
  5. Step 5: Solve for x
    x = 56,980,490,948.62/200,507.31
  6. Step 6: Final answer
    x = 284,181.61

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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.