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Finding the Fourth Proportional to 407,640.80, 608,716.24 and 332,909.30

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Solution

The fourth proportional to 407,640.80, 608,716.24 and 332,909.30 is: 497,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,640.80 : 608,716.24 = 332,909.30 : x
  2. Step 2: Convert to fraction form
    407,640.80/608,716.24 = 332,909.30/x
  3. Step 3: Cross multiply
    407,640.80x = 608,716.24 × 332,909.30
  4. Step 4: Simplify right side
    407,640.80x = 202,647,297,357.03
  5. Step 5: Solve for x
    x = 202,647,297,357.03/407,640.80
  6. Step 6: Final answer
    x = 497,122.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.