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Finding the Fourth Proportional to 511,940.16, 767,858.40 and 138,000.96

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Solution

The fourth proportional to 511,940.16, 767,858.40 and 138,000.96 is: 206,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,940.16 : 767,858.40 = 138,000.96 : x
  2. Step 2: Convert to fraction form
    511,940.16/767,858.40 = 138,000.96/x
  3. Step 3: Cross multiply
    511,940.16x = 767,858.40 × 138,000.96
  4. Step 4: Simplify right side
    511,940.16x = 105,965,196,344.06
  5. Step 5: Solve for x
    x = 105,965,196,344.06/511,940.16
  6. Step 6: Final answer
    x = 206,987.47

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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.