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Finding the Fourth Proportional to 290,419,523.70, 435,629,285.55 and 224,662,557.30

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Solution

The fourth proportional to 290,419,523.70, 435,629,285.55 and 224,662,557.30 is: 336,993,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,419,523.70 : 435,629,285.55 = 224,662,557.30 : x
  2. Step 2: Convert to fraction form
    290,419,523.70/435,629,285.55 = 224,662,557.30/x
  3. Step 3: Cross multiply
    290,419,523.70x = 435,629,285.55 × 224,662,557.30
  4. Step 4: Simplify right side
    290,419,523.70x = 97,869,589,326,434,944
  5. Step 5: Solve for x
    x = 97,869,589,326,434,944/290,419,523.70
  6. Step 6: Final answer
    x = 336,993,835.95

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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.