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Finding the Fourth Proportional to 428,533.20, 642,843.54 and 148,014

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Solution

The fourth proportional to 428,533.20, 642,843.54 and 148,014 is: 222,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,533.20 : 642,843.54 = 148,014 : x
  2. Step 2: Convert to fraction form
    428,533.20/642,843.54 = 148,014/x
  3. Step 3: Cross multiply
    428,533.20x = 642,843.54 × 148,014
  4. Step 4: Simplify right side
    428,533.20x = 95,149,843,729.56
  5. Step 5: Solve for x
    x = 95,149,843,729.56/428,533.20
  6. Step 6: Final answer
    x = 222,036.11

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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.