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Finding the Fourth Proportional to 431,151.56, 645,870.06 and 337,217.48

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Solution

The fourth proportional to 431,151.56, 645,870.06 and 337,217.48 is: 505,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,151.56 : 645,870.06 = 337,217.48 : x
  2. Step 2: Convert to fraction form
    431,151.56/645,870.06 = 337,217.48/x
  3. Step 3: Cross multiply
    431,151.56x = 645,870.06 × 337,217.48
  4. Step 4: Simplify right side
    431,151.56x = 217,798,674,040.65
  5. Step 5: Solve for x
    x = 217,798,674,040.65/431,151.56
  6. Step 6: Final answer
    x = 505,155.71

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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.