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Finding the Fourth Proportional to 511,865.72, 767,844.66 and 137,880.44

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Solution

The fourth proportional to 511,865.72, 767,844.66 and 137,880.44 is: 206,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,865.72 : 767,844.66 = 137,880.44 : x
  2. Step 2: Convert to fraction form
    511,865.72/767,844.66 = 137,880.44/x
  3. Step 3: Cross multiply
    511,865.72x = 767,844.66 × 137,880.44
  4. Step 4: Simplify right side
    511,865.72x = 105,870,759,572.45
  5. Step 5: Solve for x
    x = 105,870,759,572.45/511,865.72
  6. Step 6: Final answer
    x = 206,833.07

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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.