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Finding the Fourth Proportional to 419,906,216.40, 629,859,324.60 and 147,178,568.40

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Solution

The fourth proportional to 419,906,216.40, 629,859,324.60 and 147,178,568.40 is: 220,767,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,216.40 : 629,859,324.60 = 147,178,568.40 : x
  2. Step 2: Convert to fraction form
    419,906,216.40/629,859,324.60 = 147,178,568.40/x
  3. Step 3: Cross multiply
    419,906,216.40x = 629,859,324.60 × 147,178,568.40
  4. Step 4: Simplify right side
    419,906,216.40x = 92,701,793,688,018,912
  5. Step 5: Solve for x
    x = 92,701,793,688,018,912/419,906,216.40
  6. Step 6: Final answer
    x = 220,767,852.60

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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.