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Finding the Fourth Proportional to 405,940.40, 608,910.60 and 106,420.40

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Solution

The fourth proportional to 405,940.40, 608,910.60 and 106,420.40 is: 159,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,940.40 : 608,910.60 = 106,420.40 : x
  2. Step 2: Convert to fraction form
    405,940.40/608,910.60 = 106,420.40/x
  3. Step 3: Cross multiply
    405,940.40x = 608,910.60 × 106,420.40
  4. Step 4: Simplify right side
    405,940.40x = 64,800,509,616.24
  5. Step 5: Solve for x
    x = 64,800,509,616.24/405,940.40
  6. Step 6: Final answer
    x = 159,630.60

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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.