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Finding the Fourth Proportional to 351,698.54, 485,289.14 and 208,435.46

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Solution

The fourth proportional to 351,698.54, 485,289.14 and 208,435.46 is: 287,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,698.54 : 485,289.14 = 208,435.46 : x
  2. Step 2: Convert to fraction form
    351,698.54/485,289.14 = 208,435.46/x
  3. Step 3: Cross multiply
    351,698.54x = 485,289.14 × 208,435.46
  4. Step 4: Simplify right side
    351,698.54x = 101,151,461,660.28
  5. Step 5: Solve for x
    x = 101,151,461,660.28/351,698.54
  6. Step 6: Final answer
    x = 287,608.42

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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.