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Finding the Fourth Proportional to 405,794.80, 608,546.40 and 206,048.80

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Solution

The fourth proportional to 405,794.80, 608,546.40 and 206,048.80 is: 308,999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,794.80 : 608,546.40 = 206,048.80 : x
  2. Step 2: Convert to fraction form
    405,794.80/608,546.40 = 206,048.80/x
  3. Step 3: Cross multiply
    405,794.80x = 608,546.40 × 206,048.80
  4. Step 4: Simplify right side
    405,794.80x = 125,390,255,464.32
  5. Step 5: Solve for x
    x = 125,390,255,464.32/405,794.80
  6. Step 6: Final answer
    x = 308,999.17

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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.