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Finding the Fourth Proportional to 428,794.56, 642,738.06 and 144,214.20

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Solution

The fourth proportional to 428,794.56, 642,738.06 and 144,214.20 is: 216,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,794.56 : 642,738.06 = 144,214.20 : x
  2. Step 2: Convert to fraction form
    428,794.56/642,738.06 = 144,214.20/x
  3. Step 3: Cross multiply
    428,794.56x = 642,738.06 × 144,214.20
  4. Step 4: Simplify right side
    428,794.56x = 92,691,955,132.45
  5. Step 5: Solve for x
    x = 92,691,955,132.45/428,794.56
  6. Step 6: Final answer
    x = 216,168.68

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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.