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Finding the Fourth Proportional to 603,096, 905,058.72 and 209,112

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Solution

The fourth proportional to 603,096, 905,058.72 and 209,112 is: 313,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,096 : 905,058.72 = 209,112 : x
  2. Step 2: Convert to fraction form
    603,096/905,058.72 = 209,112/x
  3. Step 3: Cross multiply
    603,096x = 905,058.72 × 209,112
  4. Step 4: Simplify right side
    603,096x = 189,258,639,056.64
  5. Step 5: Solve for x
    x = 189,258,639,056.64/603,096
  6. Step 6: Final answer
    x = 313,811.80

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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.