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Finding the Fourth Proportional to 483,460.80, 724,316.40 and 394,231.20

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Solution

The fourth proportional to 483,460.80, 724,316.40 and 394,231.20 is: 590,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,460.80 : 724,316.40 = 394,231.20 : x
  2. Step 2: Convert to fraction form
    483,460.80/724,316.40 = 394,231.20/x
  3. Step 3: Cross multiply
    483,460.80x = 724,316.40 × 394,231.20
  4. Step 4: Simplify right side
    483,460.80x = 285,548,123,551.68
  5. Step 5: Solve for x
    x = 285,548,123,551.68/483,460.80
  6. Step 6: Final answer
    x = 590,633.46

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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.