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Finding the Fourth Proportional to 428,268.26, 642,352.71 and 112,749.77

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Solution

The fourth proportional to 428,268.26, 642,352.71 and 112,749.77 is: 169,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,268.26 : 642,352.71 = 112,749.77 : x
  2. Step 2: Convert to fraction form
    428,268.26/642,352.71 = 112,749.77/x
  3. Step 3: Cross multiply
    428,268.26x = 642,352.71 × 112,749.77
  4. Step 4: Simplify right side
    428,268.26x = 72,425,120,311.38
  5. Step 5: Solve for x
    x = 72,425,120,311.38/428,268.26
  6. Step 6: Final answer
    x = 169,111.58

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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.