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Finding the Fourth Proportional to 811,838, 1,217,762.20 and 212,794

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Solution

The fourth proportional to 811,838, 1,217,762.20 and 212,794 is: 319,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,838 : 1,217,762.20 = 212,794 : x
  2. Step 2: Convert to fraction form
    811,838/1,217,762.20 = 212,794/x
  3. Step 3: Cross multiply
    811,838x = 1,217,762.20 × 212,794
  4. Step 4: Simplify right side
    811,838x = 259,132,489,586.80
  5. Step 5: Solve for x
    x = 259,132,489,586.80/811,838
  6. Step 6: Final answer
    x = 319,192.36

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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.