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Finding the Fourth Proportional to 287,456.78, 431,268.39 and 118,946.00

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Solution

The fourth proportional to 287,456.78, 431,268.39 and 118,946.00 is: 178,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,456.78 : 431,268.39 = 118,946.00 : x
  2. Step 2: Convert to fraction form
    287,456.78/431,268.39 = 118,946.00/x
  3. Step 3: Cross multiply
    287,456.78x = 431,268.39 × 118,946.00
  4. Step 4: Simplify right side
    287,456.78x = 51,297,647,760.60
  5. Step 5: Solve for x
    x = 51,297,647,760.60/287,456.78
  6. Step 6: Final answer
    x = 178,453.43

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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.