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Finding the Fourth Proportional to 198,730,812, 298,096,218 and 55,123,644

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Solution

The fourth proportional to 198,730,812, 298,096,218 and 55,123,644 is: 82,685,466

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,730,812 : 298,096,218 = 55,123,644 : x
  2. Step 2: Convert to fraction form
    198,730,812/298,096,218 = 55,123,644/x
  3. Step 3: Cross multiply
    198,730,812x = 298,096,218 × 55,123,644
  4. Step 4: Simplify right side
    198,730,812x = 16,432,149,798,778,392
  5. Step 5: Solve for x
    x = 16,432,149,798,778,392/198,730,812
  6. Step 6: Final answer
    x = 82,685,466

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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.