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Finding the Fourth Proportional to 419,471.52, 628,585.08 and 308,119.20

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Solution

The fourth proportional to 419,471.52, 628,585.08 and 308,119.20 is: 461,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,471.52 : 628,585.08 = 308,119.20 : x
  2. Step 2: Convert to fraction form
    419,471.52/628,585.08 = 308,119.20/x
  3. Step 3: Cross multiply
    419,471.52x = 628,585.08 × 308,119.20
  4. Step 4: Simplify right side
    419,471.52x = 193,679,131,981.54
  5. Step 5: Solve for x
    x = 193,679,131,981.54/419,471.52
  6. Step 6: Final answer
    x = 461,721.77

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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.