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Finding the Fourth Proportional to 415,459.06, 623,272.42 and 131,194.01

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Solution

The fourth proportional to 415,459.06, 623,272.42 and 131,194.01 is: 196,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,459.06 : 623,272.42 = 131,194.01 : x
  2. Step 2: Convert to fraction form
    415,459.06/623,272.42 = 131,194.01/x
  3. Step 3: Cross multiply
    415,459.06x = 623,272.42 × 131,194.01
  4. Step 4: Simplify right side
    415,459.06x = 81,769,608,102.20
  5. Step 5: Solve for x
    x = 81,769,608,102.20/415,459.06
  6. Step 6: Final answer
    x = 196,817.49

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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.