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Finding the Fourth Proportional to 428,257.26, 642,336.21 and 112,738.77

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Solution

The fourth proportional to 428,257.26, 642,336.21 and 112,738.77 is: 169,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,257.26 : 642,336.21 = 112,738.77 : x
  2. Step 2: Convert to fraction form
    428,257.26/642,336.21 = 112,738.77/x
  3. Step 3: Cross multiply
    428,257.26x = 642,336.21 × 112,738.77
  4. Step 4: Simplify right side
    428,257.26x = 72,416,194,241.86
  5. Step 5: Solve for x
    x = 72,416,194,241.86/428,257.26
  6. Step 6: Final answer
    x = 169,095.08

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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.