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Finding the Fourth Proportional to 428,104.74, 642,392.21 and 248,409.88

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Solution

The fourth proportional to 428,104.74, 642,392.21 and 248,409.88 is: 372,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,104.74 : 642,392.21 = 248,409.88 : x
  2. Step 2: Convert to fraction form
    428,104.74/642,392.21 = 248,409.88/x
  3. Step 3: Cross multiply
    428,104.74x = 642,392.21 × 248,409.88
  4. Step 4: Simplify right side
    428,104.74x = 159,576,571,359.98
  5. Step 5: Solve for x
    x = 159,576,571,359.98/428,104.74
  6. Step 6: Final answer
    x = 372,751.24

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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.