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Finding the Fourth Proportional to 568,314.64, 784,272.58 and 313,664

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Solution

The fourth proportional to 568,314.64, 784,272.58 and 313,664 is: 432,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,314.64 : 784,272.58 = 313,664 : x
  2. Step 2: Convert to fraction form
    568,314.64/784,272.58 = 313,664/x
  3. Step 3: Cross multiply
    568,314.64x = 784,272.58 × 313,664
  4. Step 4: Simplify right side
    568,314.64x = 245,998,074,533.12
  5. Step 5: Solve for x
    x = 245,998,074,533.12/568,314.64
  6. Step 6: Final answer
    x = 432,855.42

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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.