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Finding the Fourth Proportional to 419,137.67, 628,706.72 and 138,654.92

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Solution

The fourth proportional to 419,137.67, 628,706.72 and 138,654.92 is: 207,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,137.67 : 628,706.72 = 138,654.92 : x
  2. Step 2: Convert to fraction form
    419,137.67/628,706.72 = 138,654.92/x
  3. Step 3: Cross multiply
    419,137.67x = 628,706.72 × 138,654.92
  4. Step 4: Simplify right side
    419,137.67x = 87,173,279,271.79
  5. Step 5: Solve for x
    x = 87,173,279,271.79/419,137.67
  6. Step 6: Final answer
    x = 207,982.45

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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.