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Finding the Fourth Proportional to 315,794.34, 435,735.99 and 188,481.78

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Solution

The fourth proportional to 315,794.34, 435,735.99 and 188,481.78 is: 260,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,794.34 : 435,735.99 = 188,481.78 : x
  2. Step 2: Convert to fraction form
    315,794.34/435,735.99 = 188,481.78/x
  3. Step 3: Cross multiply
    315,794.34x = 435,735.99 × 188,481.78
  4. Step 4: Simplify right side
    315,794.34x = 82,128,295,005.26
  5. Step 5: Solve for x
    x = 82,128,295,005.26/315,794.34
  6. Step 6: Final answer
    x = 260,068.93

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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.