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Finding the Fourth Proportional to 428,676.63, 642,883.61 and 296,406.87

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Solution

The fourth proportional to 428,676.63, 642,883.61 and 296,406.87 is: 444,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,676.63 : 642,883.61 = 296,406.87 : x
  2. Step 2: Convert to fraction form
    428,676.63/642,883.61 = 296,406.87/x
  3. Step 3: Cross multiply
    428,676.63x = 642,883.61 × 296,406.87
  4. Step 4: Simplify right side
    428,676.63x = 190,555,117,919.07
  5. Step 5: Solve for x
    x = 190,555,117,919.07/428,676.63
  6. Step 6: Final answer
    x = 444,519.49

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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.