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Finding the Fourth Proportional to 411,951.40, 617,466.30 and 212,194.60

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Solution

The fourth proportional to 411,951.40, 617,466.30 and 212,194.60 is: 318,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,951.40 : 617,466.30 = 212,194.60 : x
  2. Step 2: Convert to fraction form
    411,951.40/617,466.30 = 212,194.60/x
  3. Step 3: Cross multiply
    411,951.40x = 617,466.30 × 212,194.60
  4. Step 4: Simplify right side
    411,951.40x = 131,023,014,541.98
  5. Step 5: Solve for x
    x = 131,023,014,541.98/411,951.40
  6. Step 6: Final answer
    x = 318,054.54

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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.