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Finding the Fourth Proportional to 431,329.32, 645,582.96 and 317,446.56

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Solution

The fourth proportional to 431,329.32, 645,582.96 and 317,446.56 is: 475,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,329.32 : 645,582.96 = 317,446.56 : x
  2. Step 2: Convert to fraction form
    431,329.32/645,582.96 = 317,446.56/x
  3. Step 3: Cross multiply
    431,329.32x = 645,582.96 × 317,446.56
  4. Step 4: Simplify right side
    431,329.32x = 204,938,089,846.62
  5. Step 5: Solve for x
    x = 204,938,089,846.62/431,329.32
  6. Step 6: Final answer
    x = 475,131.37

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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.