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Finding the Fourth Proportional to 270,211.14, 405,315.90 and 189,918.54

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Solution

The fourth proportional to 270,211.14, 405,315.90 and 189,918.54 is: 284,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,211.14 : 405,315.90 = 189,918.54 : x
  2. Step 2: Convert to fraction form
    270,211.14/405,315.90 = 189,918.54/x
  3. Step 3: Cross multiply
    270,211.14x = 405,315.90 × 189,918.54
  4. Step 4: Simplify right side
    270,211.14x = 76,977,003,966.79
  5. Step 5: Solve for x
    x = 76,977,003,966.79/270,211.14
  6. Step 6: Final answer
    x = 284,877.24

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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.