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Finding the Fourth Proportional to 491,206,216.40, 736,809,324.60 and 451,029,276.80

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Solution

The fourth proportional to 491,206,216.40, 736,809,324.60 and 451,029,276.80 is: 676,543,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,206,216.40 : 736,809,324.60 = 451,029,276.80 : x
  2. Step 2: Convert to fraction form
    491,206,216.40/736,809,324.60 = 451,029,276.80/x
  3. Step 3: Cross multiply
    491,206,216.40x = 736,809,324.60 × 451,029,276.80
  4. Step 4: Simplify right side
    491,206,216.40x = 332,322,576,813,834,496
  5. Step 5: Solve for x
    x = 332,322,576,813,834,496/491,206,216.40
  6. Step 6: Final answer
    x = 676,543,915.20

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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.