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Finding the Fourth Proportional to 484,147.80, 724,493.70 and 306,739.80

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Solution

The fourth proportional to 484,147.80, 724,493.70 and 306,739.80 is: 459,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,147.80 : 724,493.70 = 306,739.80 : x
  2. Step 2: Convert to fraction form
    484,147.80/724,493.70 = 306,739.80/x
  3. Step 3: Cross multiply
    484,147.80x = 724,493.70 × 306,739.80
  4. Step 4: Simplify right side
    484,147.80x = 222,231,052,639.26
  5. Step 5: Solve for x
    x = 222,231,052,639.26/484,147.80
  6. Step 6: Final answer
    x = 459,014.90

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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.