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Finding the Fourth Proportional to 206,475.36, 308,930.31 and 122,280.72

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Solution

The fourth proportional to 206,475.36, 308,930.31 and 122,280.72 is: 182,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,475.36 : 308,930.31 = 122,280.72 : x
  2. Step 2: Convert to fraction form
    206,475.36/308,930.31 = 122,280.72/x
  3. Step 3: Cross multiply
    206,475.36x = 308,930.31 × 122,280.72
  4. Step 4: Simplify right side
    206,475.36x = 37,776,220,736.62
  5. Step 5: Solve for x
    x = 37,776,220,736.62/206,475.36
  6. Step 6: Final answer
    x = 182,957.52

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1.5x scale

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.