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Finding the Fourth Proportional to 568,311.64, 784,268.45 and 313,661

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Solution

The fourth proportional to 568,311.64, 784,268.45 and 313,661 is: 432,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,311.64 : 784,268.45 = 313,661 : x
  2. Step 2: Convert to fraction form
    568,311.64/784,268.45 = 313,661/x
  3. Step 3: Cross multiply
    568,311.64x = 784,268.45 × 313,661
  4. Step 4: Simplify right side
    568,311.64x = 245,994,424,727.15
  5. Step 5: Solve for x
    x = 245,994,424,727.15/568,311.64
  6. Step 6: Final answer
    x = 432,851.29

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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.