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Finding the Fourth Proportional to 300,880.84, 415,218.84 and 164,911.81

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Solution

The fourth proportional to 300,880.84, 415,218.84 and 164,911.81 is: 227,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,880.84 : 415,218.84 = 164,911.81 : x
  2. Step 2: Convert to fraction form
    300,880.84/415,218.84 = 164,911.81/x
  3. Step 3: Cross multiply
    300,880.84x = 415,218.84 × 164,911.81
  4. Step 4: Simplify right side
    300,880.84x = 68,474,490,450.50
  5. Step 5: Solve for x
    x = 68,474,490,450.50/300,880.84
  6. Step 6: Final answer
    x = 227,580.10

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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.