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Finding the Fourth Proportional to 298,716.41, 412,381 and 202,428.94

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Solution

The fourth proportional to 298,716.41, 412,381 and 202,428.94 is: 279,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,716.41 : 412,381 = 202,428.94 : x
  2. Step 2: Convert to fraction form
    298,716.41/412,381 = 202,428.94/x
  3. Step 3: Cross multiply
    298,716.41x = 412,381 × 202,428.94
  4. Step 4: Simplify right side
    298,716.41x = 83,477,848,706.14
  5. Step 5: Solve for x
    x = 83,477,848,706.14/298,716.41
  6. Step 6: Final answer
    x = 279,455.18

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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.