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Finding the Fourth Proportional to 978,200.20, 1,467,300.30 and 942,770.80

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Solution

The fourth proportional to 978,200.20, 1,467,300.30 and 942,770.80 is: 1,414,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,200.20 : 1,467,300.30 = 942,770.80 : x
  2. Step 2: Convert to fraction form
    978,200.20/1,467,300.30 = 942,770.80/x
  3. Step 3: Cross multiply
    978,200.20x = 1,467,300.30 × 942,770.80
  4. Step 4: Simplify right side
    978,200.20x = 1,383,327,877,671.24
  5. Step 5: Solve for x
    x = 1,383,327,877,671.24/978,200.20
  6. Step 6: Final answer
    x = 1,414,156.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.