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Finding the Fourth Proportional to 405,078.54, 607,047.36 and 309,940.38

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Solution

The fourth proportional to 405,078.54, 607,047.36 and 309,940.38 is: 464,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,078.54 : 607,047.36 = 309,940.38 : x
  2. Step 2: Convert to fraction form
    405,078.54/607,047.36 = 309,940.38/x
  3. Step 3: Cross multiply
    405,078.54x = 607,047.36 × 309,940.38
  4. Step 4: Simplify right side
    405,078.54x = 188,148,489,436.40
  5. Step 5: Solve for x
    x = 188,148,489,436.40/405,078.54
  6. Step 6: Final answer
    x = 464,474.10

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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.