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Finding the Fourth Proportional to 411,969.60, 618,343.20 and 254,505.60

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Solution

The fourth proportional to 411,969.60, 618,343.20 and 254,505.60 is: 381,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,969.60 : 618,343.20 = 254,505.60 : x
  2. Step 2: Convert to fraction form
    411,969.60/618,343.20 = 254,505.60/x
  3. Step 3: Cross multiply
    411,969.60x = 618,343.20 × 254,505.60
  4. Step 4: Simplify right side
    411,969.60x = 157,371,807,121.92
  5. Step 5: Solve for x
    x = 157,371,807,121.92/411,969.60
  6. Step 6: Final answer
    x = 381,998.59

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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.