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Finding the Fourth Proportional to 426,369.76, 638,944.40 and 313,162

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Solution

The fourth proportional to 426,369.76, 638,944.40 and 313,162 is: 469,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,369.76 : 638,944.40 = 313,162 : x
  2. Step 2: Convert to fraction form
    426,369.76/638,944.40 = 313,162/x
  3. Step 3: Cross multiply
    426,369.76x = 638,944.40 × 313,162
  4. Step 4: Simplify right side
    426,369.76x = 200,093,106,192.80
  5. Step 5: Solve for x
    x = 200,093,106,192.80/426,369.76
  6. Step 6: Final answer
    x = 469,294.79

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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.