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Finding the Fourth Proportional to 299,043,471.20, 447,669,411.60 and 177,812,520.80

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Solution

The fourth proportional to 299,043,471.20, 447,669,411.60 and 177,812,520.80 is: 266,186,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,043,471.20 : 447,669,411.60 = 177,812,520.80 : x
  2. Step 2: Convert to fraction form
    299,043,471.20/447,669,411.60 = 177,812,520.80/x
  3. Step 3: Cross multiply
    299,043,471.20x = 447,669,411.60 × 177,812,520.80
  4. Step 4: Simplify right side
    299,043,471.20x = 79,601,226,561,648,768
  5. Step 5: Solve for x
    x = 79,601,226,561,648,768/299,043,471.20
  6. Step 6: Final answer
    x = 266,186,137.56

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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.