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Finding the Fourth Proportional to 428,221.44, 642,364.02 and 128,678.04

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Solution

The fourth proportional to 428,221.44, 642,364.02 and 128,678.04 is: 193,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,221.44 : 642,364.02 = 128,678.04 : x
  2. Step 2: Convert to fraction form
    428,221.44/642,364.02 = 128,678.04/x
  3. Step 3: Cross multiply
    428,221.44x = 642,364.02 × 128,678.04
  4. Step 4: Simplify right side
    428,221.44x = 82,658,143,060.12
  5. Step 5: Solve for x
    x = 82,658,143,060.12/428,221.44
  6. Step 6: Final answer
    x = 193,026.63

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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.