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Finding the Fourth Proportional to 505,769.40, 698,010 and 276,361.50

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Solution

The fourth proportional to 505,769.40, 698,010 and 276,361.50 is: 381,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,769.40 : 698,010 = 276,361.50 : x
  2. Step 2: Convert to fraction form
    505,769.40/698,010 = 276,361.50/x
  3. Step 3: Cross multiply
    505,769.40x = 698,010 × 276,361.50
  4. Step 4: Simplify right side
    505,769.40x = 192,903,090,615
  5. Step 5: Solve for x
    x = 192,903,090,615/505,769.40
  6. Step 6: Final answer
    x = 381,405.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.