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Finding the Fourth Proportional to 407,836,954.80, 611,670,414.60 and 149,174,017.20

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Solution

The fourth proportional to 407,836,954.80, 611,670,414.60 and 149,174,017.20 is: 223,729,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,836,954.80 : 611,670,414.60 = 149,174,017.20 : x
  2. Step 2: Convert to fraction form
    407,836,954.80/611,670,414.60 = 149,174,017.20/x
  3. Step 3: Cross multiply
    407,836,954.80x = 611,670,414.60 × 149,174,017.20
  4. Step 4: Simplify right side
    407,836,954.80x = 91,245,332,948,271,520
  5. Step 5: Solve for x
    x = 91,245,332,948,271,520/407,836,954.80
  6. Step 6: Final answer
    x = 223,729,929.02

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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.