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Finding the Fourth Proportional to 405,477.62, 608,466.56 and 205,941.21

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Solution

The fourth proportional to 405,477.62, 608,466.56 and 205,941.21 is: 309,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,477.62 : 608,466.56 = 205,941.21 : x
  2. Step 2: Convert to fraction form
    405,477.62/608,466.56 = 205,941.21/x
  3. Step 3: Cross multiply
    405,477.62x = 608,466.56 × 205,941.21
  4. Step 4: Simplify right side
    405,477.62x = 125,308,339,610.94
  5. Step 5: Solve for x
    x = 125,308,339,610.94/405,477.62
  6. Step 6: Final answer
    x = 309,038.86

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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.