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Finding the Fourth Proportional to 384,436, 530,519.56 and 212,365.80

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Solution

The fourth proportional to 384,436, 530,519.56 and 212,365.80 is: 293,063.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,436 : 530,519.56 = 212,365.80 : x
  2. Step 2: Convert to fraction form
    384,436/530,519.56 = 212,365.80/x
  3. Step 3: Cross multiply
    384,436x = 530,519.56 × 212,365.80
  4. Step 4: Simplify right side
    384,436x = 112,664,210,775.05
  5. Step 5: Solve for x
    x = 112,664,210,775.05/384,436
  6. Step 6: Final answer
    x = 293,063.63

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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.