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Finding the Fourth Proportional to 411,617.60, 617,815.20 and 254,153.60

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Solution

The fourth proportional to 411,617.60, 617,815.20 and 254,153.60 is: 381,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,617.60 : 617,815.20 = 254,153.60 : x
  2. Step 2: Convert to fraction form
    411,617.60/617,815.20 = 254,153.60/x
  3. Step 3: Cross multiply
    411,617.60x = 617,815.20 × 254,153.60
  4. Step 4: Simplify right side
    411,617.60x = 157,019,957,214.72
  5. Step 5: Solve for x
    x = 157,019,957,214.72/411,617.60
  6. Step 6: Final answer
    x = 381,470.46

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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.