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Finding the Fourth Proportional to 411,675.60, 617,902.20 and 254,211.60

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Solution

The fourth proportional to 411,675.60, 617,902.20 and 254,211.60 is: 381,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,675.60 : 617,902.20 = 254,211.60 : x
  2. Step 2: Convert to fraction form
    411,675.60/617,902.20 = 254,211.60/x
  3. Step 3: Cross multiply
    411,675.60x = 617,902.20 × 254,211.60
  4. Step 4: Simplify right side
    411,675.60x = 157,077,906,905.52
  5. Step 5: Solve for x
    x = 157,077,906,905.52/411,675.60
  6. Step 6: Final answer
    x = 381,557.49

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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.