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Finding the Fourth Proportional to 431,150.56, 645,868.56 and 337,216.48

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Solution

The fourth proportional to 431,150.56, 645,868.56 and 337,216.48 is: 505,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,150.56 : 645,868.56 = 337,216.48 : x
  2. Step 2: Convert to fraction form
    431,150.56/645,868.56 = 337,216.48/x
  3. Step 3: Cross multiply
    431,150.56x = 645,868.56 × 337,216.48
  4. Step 4: Simplify right side
    431,150.56x = 217,797,522,345.87
  5. Step 5: Solve for x
    x = 217,797,522,345.87/431,150.56
  6. Step 6: Final answer
    x = 505,154.21

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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.