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Finding the Fourth Proportional to 505,945.08, 698,176.74 and 279,576

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Solution

The fourth proportional to 505,945.08, 698,176.74 and 279,576 is: 385,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,945.08 : 698,176.74 = 279,576 : x
  2. Step 2: Convert to fraction form
    505,945.08/698,176.74 = 279,576/x
  3. Step 3: Cross multiply
    505,945.08x = 698,176.74 × 279,576
  4. Step 4: Simplify right side
    505,945.08x = 195,193,460,262.24
  5. Step 5: Solve for x
    x = 195,193,460,262.24/505,945.08
  6. Step 6: Final answer
    x = 385,799.70

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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.