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Finding the Fourth Proportional to 437,610.96, 656,416.44 and 138,114.84

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Solution

The fourth proportional to 437,610.96, 656,416.44 and 138,114.84 is: 207,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,610.96 : 656,416.44 = 138,114.84 : x
  2. Step 2: Convert to fraction form
    437,610.96/656,416.44 = 138,114.84/x
  3. Step 3: Cross multiply
    437,610.96x = 656,416.44 × 138,114.84
  4. Step 4: Simplify right side
    437,610.96x = 90,660,851,583.97
  5. Step 5: Solve for x
    x = 90,660,851,583.97/437,610.96
  6. Step 6: Final answer
    x = 207,172.26

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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.