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Finding the Fourth Proportional to 451,313.76, 677,426.26 and 198,706.74

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Solution

The fourth proportional to 451,313.76, 677,426.26 and 198,706.74 is: 298,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,313.76 : 677,426.26 = 198,706.74 : x
  2. Step 2: Convert to fraction form
    451,313.76/677,426.26 = 198,706.74/x
  3. Step 3: Cross multiply
    451,313.76x = 677,426.26 × 198,706.74
  4. Step 4: Simplify right side
    451,313.76x = 134,609,163,714.99
  5. Step 5: Solve for x
    x = 134,609,163,714.99/451,313.76
  6. Step 6: Final answer
    x = 298,260.71

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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.