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Finding the Fourth Proportional to 428,078.44, 642,124.86 and 161,964.28

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Solution

The fourth proportional to 428,078.44, 642,124.86 and 161,964.28 is: 242,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,078.44 : 642,124.86 = 161,964.28 : x
  2. Step 2: Convert to fraction form
    428,078.44/642,124.86 = 161,964.28/x
  3. Step 3: Cross multiply
    428,078.44x = 642,124.86 × 161,964.28
  4. Step 4: Simplify right side
    428,078.44x = 104,001,290,620.00
  5. Step 5: Solve for x
    x = 104,001,290,620.00/428,078.44
  6. Step 6: Final answer
    x = 242,949.14

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1.5x scale

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.