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Finding the Fourth Proportional to 415,615.86, 623,489.40 and 135,067.50

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Solution

The fourth proportional to 415,615.86, 623,489.40 and 135,067.50 is: 202,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,615.86 : 623,489.40 = 135,067.50 : x
  2. Step 2: Convert to fraction form
    415,615.86/623,489.40 = 135,067.50/x
  3. Step 3: Cross multiply
    415,615.86x = 623,489.40 × 135,067.50
  4. Step 4: Simplify right side
    415,615.86x = 84,213,154,534.50
  5. Step 5: Solve for x
    x = 84,213,154,534.50/415,615.86
  6. Step 6: Final answer
    x = 202,622.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.