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Finding the Fourth Proportional to 412,101.45, 617,653.94 and 212,312.84

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Solution

The fourth proportional to 412,101.45, 617,653.94 and 212,312.84 is: 318,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,101.45 : 617,653.94 = 212,312.84 : x
  2. Step 2: Convert to fraction form
    412,101.45/617,653.94 = 212,312.84/x
  3. Step 3: Cross multiply
    412,101.45x = 617,653.94 × 212,312.84
  4. Step 4: Simplify right side
    412,101.45x = 131,135,857,988.76
  5. Step 5: Solve for x
    x = 131,135,857,988.76/412,101.45
  6. Step 6: Final answer
    x = 318,212.56

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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.