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Finding the Fourth Proportional to 290,123.78, 434,923.22 and 103,091.54

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Solution

The fourth proportional to 290,123.78, 434,923.22 and 103,091.54 is: 154,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,123.78 : 434,923.22 = 103,091.54 : x
  2. Step 2: Convert to fraction form
    290,123.78/434,923.22 = 103,091.54/x
  3. Step 3: Cross multiply
    290,123.78x = 434,923.22 × 103,091.54
  4. Step 4: Simplify right side
    290,123.78x = 44,836,902,614.67
  5. Step 5: Solve for x
    x = 44,836,902,614.67/290,123.78
  6. Step 6: Final answer
    x = 154,544.05

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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.