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Finding the Fourth Proportional to 461,287.38, 691,926.90 and 145,744.26

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Solution

The fourth proportional to 461,287.38, 691,926.90 and 145,744.26 is: 218,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,287.38 : 691,926.90 = 145,744.26 : x
  2. Step 2: Convert to fraction form
    461,287.38/691,926.90 = 145,744.26/x
  3. Step 3: Cross multiply
    461,287.38x = 691,926.90 × 145,744.26
  4. Step 4: Simplify right side
    461,287.38x = 100,844,374,014.59
  5. Step 5: Solve for x
    x = 100,844,374,014.59/461,287.38
  6. Step 6: Final answer
    x = 218,615.07

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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.