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Finding the Fourth Proportional to 405,477.74, 608,466.76 and 205,941.33

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Solution

The fourth proportional to 405,477.74, 608,466.76 and 205,941.33 is: 309,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,477.74 : 608,466.76 = 205,941.33 : x
  2. Step 2: Convert to fraction form
    405,477.74/608,466.76 = 205,941.33/x
  3. Step 3: Cross multiply
    405,477.74x = 608,466.76 × 205,941.33
  4. Step 4: Simplify right side
    405,477.74x = 125,308,453,300.34
  5. Step 5: Solve for x
    x = 125,308,453,300.34/405,477.74
  6. Step 6: Final answer
    x = 309,039.04

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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.