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Finding the Fourth Proportional to 415,220.46, 622,830.67 and 99,677.37

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Solution

The fourth proportional to 415,220.46, 622,830.67 and 99,677.37 is: 149,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,220.46 : 622,830.67 = 99,677.37 : x
  2. Step 2: Convert to fraction form
    415,220.46/622,830.67 = 99,677.37/x
  3. Step 3: Cross multiply
    415,220.46x = 622,830.67 × 99,677.37
  4. Step 4: Simplify right side
    415,220.46x = 62,082,123,140.94
  5. Step 5: Solve for x
    x = 62,082,123,140.94/415,220.46
  6. Step 6: Final answer
    x = 149,516.05

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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.