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Finding the Fourth Proportional to 405,172.35, 608,139.88 and 205,635.94

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Solution

The fourth proportional to 405,172.35, 608,139.88 and 205,635.94 is: 308,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,172.35 : 608,139.88 = 205,635.94 : x
  2. Step 2: Convert to fraction form
    405,172.35/608,139.88 = 205,635.94/x
  3. Step 3: Cross multiply
    405,172.35x = 608,139.88 × 205,635.94
  4. Step 4: Simplify right side
    405,172.35x = 125,055,414,997.55
  5. Step 5: Solve for x
    x = 125,055,414,997.55/405,172.35
  6. Step 6: Final answer
    x = 308,647.46

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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.