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Finding the Fourth Proportional to 568,804.50, 784,950.21 and 314,172.09

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Solution

The fourth proportional to 568,804.50, 784,950.21 and 314,172.09 is: 433,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,804.50 : 784,950.21 = 314,172.09 : x
  2. Step 2: Convert to fraction form
    568,804.50/784,950.21 = 314,172.09/x
  3. Step 3: Cross multiply
    568,804.50x = 784,950.21 × 314,172.09
  4. Step 4: Simplify right side
    568,804.50x = 246,609,448,021.64
  5. Step 5: Solve for x
    x = 246,609,448,021.64/568,804.50
  6. Step 6: Final answer
    x = 433,557.48

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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.