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Finding the Fourth Proportional to 371,476, 512,636.88 and 212,500

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Solution

The fourth proportional to 371,476, 512,636.88 and 212,500 is: 293,250

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,476 : 512,636.88 = 212,500 : x
  2. Step 2: Convert to fraction form
    371,476/512,636.88 = 212,500/x
  3. Step 3: Cross multiply
    371,476x = 512,636.88 × 212,500
  4. Step 4: Simplify right side
    371,476x = 108,935,337,000
  5. Step 5: Solve for x
    x = 108,935,337,000/371,476
  6. Step 6: Final answer
    x = 293,250

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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.