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Finding the Fourth Proportional to 405,478.62, 608,468.06 and 205,942.21

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Solution

The fourth proportional to 405,478.62, 608,468.06 and 205,942.21 is: 309,040.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,478.62 : 608,468.06 = 205,942.21 : x
  2. Step 2: Convert to fraction form
    405,478.62/608,468.06 = 205,942.21/x
  3. Step 3: Cross multiply
    405,478.62x = 608,468.06 × 205,942.21
  4. Step 4: Simplify right side
    405,478.62x = 125,309,256,990.81
  5. Step 5: Solve for x
    x = 125,309,256,990.81/405,478.62
  6. Step 6: Final answer
    x = 309,040.36

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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.