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Finding the Fourth Proportional to 411,953.40, 617,469.30 and 212,196.60

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Solution

The fourth proportional to 411,953.40, 617,469.30 and 212,196.60 is: 318,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,953.40 : 617,469.30 = 212,196.60 : x
  2. Step 2: Convert to fraction form
    411,953.40/617,469.30 = 212,196.60/x
  3. Step 3: Cross multiply
    411,953.40x = 617,469.30 × 212,196.60
  4. Step 4: Simplify right side
    411,953.40x = 131,024,886,064.38
  5. Step 5: Solve for x
    x = 131,024,886,064.38/411,953.40
  6. Step 6: Final answer
    x = 318,057.54

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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.