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Finding the Fourth Proportional to 380,283.76, 524,797.79 and 208,198.85

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Solution

The fourth proportional to 380,283.76, 524,797.79 and 208,198.85 is: 287,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,283.76 : 524,797.79 = 208,198.85 : x
  2. Step 2: Convert to fraction form
    380,283.76/524,797.79 = 208,198.85/x
  3. Step 3: Cross multiply
    380,283.76x = 524,797.79 × 208,198.85
  4. Step 4: Simplify right side
    380,283.76x = 109,262,296,360.54
  5. Step 5: Solve for x
    x = 109,262,296,360.54/380,283.76
  6. Step 6: Final answer
    x = 287,317.81

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1.5x scale

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.