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Finding the Fourth Proportional to 481,523.52, 664,281.84 and 311,812.32

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Solution

The fourth proportional to 481,523.52, 664,281.84 and 311,812.32 is: 430,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,523.52 : 664,281.84 = 311,812.32 : x
  2. Step 2: Convert to fraction form
    481,523.52/664,281.84 = 311,812.32/x
  3. Step 3: Cross multiply
    481,523.52x = 664,281.84 × 311,812.32
  4. Step 4: Simplify right side
    481,523.52x = 207,131,261,664.27
  5. Step 5: Solve for x
    x = 207,131,261,664.27/481,523.52
  6. Step 6: Final answer
    x = 430,158.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.