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Finding the Fourth Proportional to 332,147.40, 498,221.10 and 285,491.40

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Solution

The fourth proportional to 332,147.40, 498,221.10 and 285,491.40 is: 428,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,147.40 : 498,221.10 = 285,491.40 : x
  2. Step 2: Convert to fraction form
    332,147.40/498,221.10 = 285,491.40/x
  3. Step 3: Cross multiply
    332,147.40x = 498,221.10 × 285,491.40
  4. Step 4: Simplify right side
    332,147.40x = 142,237,839,348.54
  5. Step 5: Solve for x
    x = 142,237,839,348.54/332,147.40
  6. Step 6: Final answer
    x = 428,237.10

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1.5x scale

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.