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Finding the Fourth Proportional to 428,077.44, 642,123.36 and 161,963.28

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Solution

The fourth proportional to 428,077.44, 642,123.36 and 161,963.28 is: 242,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,077.44 : 642,123.36 = 161,963.28 : x
  2. Step 2: Convert to fraction form
    428,077.44/642,123.36 = 161,963.28/x
  3. Step 3: Cross multiply
    428,077.44x = 642,123.36 × 161,963.28
  4. Step 4: Simplify right side
    428,077.44x = 104,000,405,550.22
  5. Step 5: Solve for x
    x = 104,000,405,550.22/428,077.44
  6. Step 6: Final answer
    x = 242,947.64

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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.