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Finding the Fourth Proportional to 431,094.60, 646,243.38 and 220,267.80

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Solution

The fourth proportional to 431,094.60, 646,243.38 and 220,267.80 is: 330,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,094.60 : 646,243.38 = 220,267.80 : x
  2. Step 2: Convert to fraction form
    431,094.60/646,243.38 = 220,267.80/x
  3. Step 3: Cross multiply
    431,094.60x = 646,243.38 × 220,267.80
  4. Step 4: Simplify right side
    431,094.60x = 142,346,607,577.16
  5. Step 5: Solve for x
    x = 142,346,607,577.16/431,094.60
  6. Step 6: Final answer
    x = 330,198.08

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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.