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Finding the Fourth Proportional to 405,474.30, 608,024.22 and 149,242.50

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Solution

The fourth proportional to 405,474.30, 608,024.22 and 149,242.50 is: 223,794.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,474.30 : 608,024.22 = 149,242.50 : x
  2. Step 2: Convert to fraction form
    405,474.30/608,024.22 = 149,242.50/x
  3. Step 3: Cross multiply
    405,474.30x = 608,024.22 × 149,242.50
  4. Step 4: Simplify right side
    405,474.30x = 90,743,054,653.35
  5. Step 5: Solve for x
    x = 90,743,054,653.35/405,474.30
  6. Step 6: Final answer
    x = 223,794.84

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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.