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Finding the Fourth Proportional to 270,076.16, 405,200.75 and 189,107.50

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Solution

The fourth proportional to 270,076.16, 405,200.75 and 189,107.50 is: 283,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,076.16 : 405,200.75 = 189,107.50 : x
  2. Step 2: Convert to fraction form
    270,076.16/405,200.75 = 189,107.50/x
  3. Step 3: Cross multiply
    270,076.16x = 405,200.75 × 189,107.50
  4. Step 4: Simplify right side
    270,076.16x = 76,626,500,657.62
  5. Step 5: Solve for x
    x = 76,626,500,657.62/270,076.16
  6. Step 6: Final answer
    x = 283,721.82

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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.