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Finding the Fourth Proportional to 412,748.40, 619,122.60 and 271,030.80

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Solution

The fourth proportional to 412,748.40, 619,122.60 and 271,030.80 is: 406,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,748.40 : 619,122.60 = 271,030.80 : x
  2. Step 2: Convert to fraction form
    412,748.40/619,122.60 = 271,030.80/x
  3. Step 3: Cross multiply
    412,748.40x = 619,122.60 × 271,030.80
  4. Step 4: Simplify right side
    412,748.40x = 167,801,293,576.08
  5. Step 5: Solve for x
    x = 167,801,293,576.08/412,748.40
  6. Step 6: Final answer
    x = 406,546.20

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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.