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Finding the Fourth Proportional to 509,431.64, 702,797.64 and 318,112.88

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Solution

The fourth proportional to 509,431.64, 702,797.64 and 318,112.88 is: 438,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,431.64 : 702,797.64 = 318,112.88 : x
  2. Step 2: Convert to fraction form
    509,431.64/702,797.64 = 318,112.88/x
  3. Step 3: Cross multiply
    509,431.64x = 702,797.64 × 318,112.88
  4. Step 4: Simplify right side
    509,431.64x = 223,568,981,317.60
  5. Step 5: Solve for x
    x = 223,568,981,317.60/509,431.64
  6. Step 6: Final answer
    x = 438,859.63

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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.