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Finding the Fourth Proportional to 513,817.25, 770,799.71 and 158,858.93

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Solution

The fourth proportional to 513,817.25, 770,799.71 and 158,858.93 is: 238,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,817.25 : 770,799.71 = 158,858.93 : x
  2. Step 2: Convert to fraction form
    513,817.25/770,799.71 = 158,858.93/x
  3. Step 3: Cross multiply
    513,817.25x = 770,799.71 × 158,858.93
  4. Step 4: Simplify right side
    513,817.25x = 122,448,419,499.06
  5. Step 5: Solve for x
    x = 122,448,419,499.06/513,817.25
  6. Step 6: Final answer
    x = 238,311.23

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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.