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Finding the Fourth Proportional to 259,040.40, 388,648.83 and 158,040.66

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Solution

The fourth proportional to 259,040.40, 388,648.83 and 158,040.66 is: 237,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,040.40 : 388,648.83 = 158,040.66 : x
  2. Step 2: Convert to fraction form
    259,040.40/388,648.83 = 158,040.66/x
  3. Step 3: Cross multiply
    259,040.40x = 388,648.83 × 158,040.66
  4. Step 4: Simplify right side
    259,040.40x = 61,422,316,918.83
  5. Step 5: Solve for x
    x = 61,422,316,918.83/259,040.40
  6. Step 6: Final answer
    x = 237,114.81

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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.