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Finding the Fourth Proportional to 415,405.26, 623,167.83 and 130,999.14

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Solution

The fourth proportional to 415,405.26, 623,167.83 and 130,999.14 is: 196,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,405.26 : 623,167.83 = 130,999.14 : x
  2. Step 2: Convert to fraction form
    415,405.26/623,167.83 = 130,999.14/x
  3. Step 3: Cross multiply
    415,405.26x = 623,167.83 × 130,999.14
  4. Step 4: Simplify right side
    415,405.26x = 81,634,449,805.67
  5. Step 5: Solve for x
    x = 81,634,449,805.67/415,405.26
  6. Step 6: Final answer
    x = 196,517.61

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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.