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Finding the Fourth Proportional to 443,415.40, 665,015.10 and 127,839.40

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Solution

The fourth proportional to 443,415.40, 665,015.10 and 127,839.40 is: 191,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,415.40 : 665,015.10 = 127,839.40 : x
  2. Step 2: Convert to fraction form
    443,415.40/665,015.10 = 127,839.40/x
  3. Step 3: Cross multiply
    443,415.40x = 665,015.10 × 127,839.40
  4. Step 4: Simplify right side
    443,415.40x = 85,015,131,374.94
  5. Step 5: Solve for x
    x = 85,015,131,374.94/443,415.40
  6. Step 6: Final answer
    x = 191,727.96

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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.