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Finding the Fourth Proportional to 421,951.25, 632,858.65 and 155,837.09

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Solution

The fourth proportional to 421,951.25, 632,858.65 and 155,837.09 is: 233,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,951.25 : 632,858.65 = 155,837.09 : x
  2. Step 2: Convert to fraction form
    421,951.25/632,858.65 = 155,837.09/x
  3. Step 3: Cross multiply
    421,951.25x = 632,858.65 × 155,837.09
  4. Step 4: Simplify right side
    421,951.25x = 98,622,846,453.85
  5. Step 5: Solve for x
    x = 98,622,846,453.85/421,951.25
  6. Step 6: Final answer
    x = 233,730.43

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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.