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Finding the Fourth Proportional to 405,476.62, 608,465.06 and 205,940.21

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Solution

The fourth proportional to 405,476.62, 608,465.06 and 205,940.21 is: 309,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,476.62 : 608,465.06 = 205,940.21 : x
  2. Step 2: Convert to fraction form
    405,476.62/608,465.06 = 205,940.21/x
  3. Step 3: Cross multiply
    405,476.62x = 608,465.06 × 205,940.21
  4. Step 4: Simplify right side
    405,476.62x = 125,307,420,092.73
  5. Step 5: Solve for x
    x = 125,307,420,092.73/405,476.62
  6. Step 6: Final answer
    x = 309,037.35

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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.