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Finding the Fourth Proportional to 789,502.32, 1,183,800 and 309,167.64

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Solution

The fourth proportional to 789,502.32, 1,183,800 and 309,167.64 is: 463,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,502.32 : 1,183,800 = 309,167.64 : x
  2. Step 2: Convert to fraction form
    789,502.32/1,183,800 = 309,167.64/x
  3. Step 3: Cross multiply
    789,502.32x = 1,183,800 × 309,167.64
  4. Step 4: Simplify right side
    789,502.32x = 365,992,652,232
  5. Step 5: Solve for x
    x = 365,992,652,232/789,502.32
  6. Step 6: Final answer
    x = 463,573.88

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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.