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Finding the Fourth Proportional to 666,071.36, 999,435.09 and 311,033.78

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Solution

The fourth proportional to 666,071.36, 999,435.09 and 311,033.78 is: 466,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,071.36 : 999,435.09 = 311,033.78 : x
  2. Step 2: Convert to fraction form
    666,071.36/999,435.09 = 311,033.78/x
  3. Step 3: Cross multiply
    666,071.36x = 999,435.09 × 311,033.78
  4. Step 4: Simplify right side
    666,071.36x = 310,858,073,907.34
  5. Step 5: Solve for x
    x = 310,858,073,907.34/666,071.36
  6. Step 6: Final answer
    x = 466,703.86

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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.