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Finding the Fourth Proportional to 493,450.84, 680,677.91 and 297,080.61

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Solution

The fourth proportional to 493,450.84, 680,677.91 and 297,080.61 is: 409,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,450.84 : 680,677.91 = 297,080.61 : x
  2. Step 2: Convert to fraction form
    493,450.84/680,677.91 = 297,080.61/x
  3. Step 3: Cross multiply
    493,450.84x = 680,677.91 × 297,080.61
  4. Step 4: Simplify right side
    493,450.84x = 202,216,208,716.33
  5. Step 5: Solve for x
    x = 202,216,208,716.33/493,450.84
  6. Step 6: Final answer
    x = 409,800.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.