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Finding the Fourth Proportional to 494,804.60, 742,109.70 and 162,380.60

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Solution

The fourth proportional to 494,804.60, 742,109.70 and 162,380.60 is: 243,539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,804.60 : 742,109.70 = 162,380.60 : x
  2. Step 2: Convert to fraction form
    494,804.60/742,109.70 = 162,380.60/x
  3. Step 3: Cross multiply
    494,804.60x = 742,109.70 × 162,380.60
  4. Step 4: Simplify right side
    494,804.60x = 120,504,218,351.82
  5. Step 5: Solve for x
    x = 120,504,218,351.82/494,804.60
  6. Step 6: Final answer
    x = 243,539.00

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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.