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Finding the Fourth Proportional to 546,621.60, 820,546.80 and 422,512.80

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Solution

The fourth proportional to 546,621.60, 820,546.80 and 422,512.80 is: 634,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,621.60 : 820,546.80 = 422,512.80 : x
  2. Step 2: Convert to fraction form
    546,621.60/820,546.80 = 422,512.80/x
  3. Step 3: Cross multiply
    546,621.60x = 820,546.80 × 422,512.80
  4. Step 4: Simplify right side
    546,621.60x = 346,691,525,999.04
  5. Step 5: Solve for x
    x = 346,691,525,999.04/546,621.60
  6. Step 6: Final answer
    x = 634,244.10

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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.