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Finding the Fourth Proportional to 523,127.36, 784,506.56 and 168,021.44

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Solution

The fourth proportional to 523,127.36, 784,506.56 and 168,021.44 is: 251,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,127.36 : 784,506.56 = 168,021.44 : x
  2. Step 2: Convert to fraction form
    523,127.36/784,506.56 = 168,021.44/x
  3. Step 3: Cross multiply
    523,127.36x = 784,506.56 × 168,021.44
  4. Step 4: Simplify right side
    523,127.36x = 131,813,921,900.65
  5. Step 5: Solve for x
    x = 131,813,921,900.65/523,127.36
  6. Step 6: Final answer
    x = 251,972.91

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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.