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Finding the Fourth Proportional to 520,252.84, 717,736.44 and 412,390

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Solution

The fourth proportional to 520,252.84, 717,736.44 and 412,390 is: 568,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,252.84 : 717,736.44 = 412,390 : x
  2. Step 2: Convert to fraction form
    520,252.84/717,736.44 = 412,390/x
  3. Step 3: Cross multiply
    520,252.84x = 717,736.44 × 412,390
  4. Step 4: Simplify right side
    520,252.84x = 295,987,330,491.60
  5. Step 5: Solve for x
    x = 295,987,330,491.60/520,252.84
  6. Step 6: Final answer
    x = 568,929.77

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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.