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Finding the Fourth Proportional to 431,327.80, 646,991.70 and 305,356.60

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Solution

The fourth proportional to 431,327.80, 646,991.70 and 305,356.60 is: 458,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,327.80 : 646,991.70 = 305,356.60 : x
  2. Step 2: Convert to fraction form
    431,327.80/646,991.70 = 305,356.60/x
  3. Step 3: Cross multiply
    431,327.80x = 646,991.70 × 305,356.60
  4. Step 4: Simplify right side
    431,327.80x = 197,563,185,740.22
  5. Step 5: Solve for x
    x = 197,563,185,740.22/431,327.80
  6. Step 6: Final answer
    x = 458,034.90

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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.