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Finding the Fourth Proportional to 405,570.50, 608,311.93 and 135,668.05

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Solution

The fourth proportional to 405,570.50, 608,311.93 and 135,668.05 is: 203,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,570.50 : 608,311.93 = 135,668.05 : x
  2. Step 2: Convert to fraction form
    405,570.50/608,311.93 = 135,668.05/x
  3. Step 3: Cross multiply
    405,570.50x = 608,311.93 × 135,668.05
  4. Step 4: Simplify right side
    405,570.50x = 82,528,493,334.84
  5. Step 5: Solve for x
    x = 82,528,493,334.84/405,570.50
  6. Step 6: Final answer
    x = 203,487.42

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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.