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Finding the Fourth Proportional to 393,533.85, 543,034.83 and 221,448.82

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Solution

The fourth proportional to 393,533.85, 543,034.83 and 221,448.82 is: 305,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,533.85 : 543,034.83 = 221,448.82 : x
  2. Step 2: Convert to fraction form
    393,533.85/543,034.83 = 221,448.82/x
  3. Step 3: Cross multiply
    393,533.85x = 543,034.83 × 221,448.82
  4. Step 4: Simplify right side
    393,533.85x = 120,254,422,813.44
  5. Step 5: Solve for x
    x = 120,254,422,813.44/393,533.85
  6. Step 6: Final answer
    x = 305,575.80

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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.