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Finding the Fourth Proportional to 415,139.80, 622,709.70 and 341,328.55

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Solution

The fourth proportional to 415,139.80, 622,709.70 and 341,328.55 is: 511,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,139.80 : 622,709.70 = 341,328.55 : x
  2. Step 2: Convert to fraction form
    415,139.80/622,709.70 = 341,328.55/x
  3. Step 3: Cross multiply
    415,139.80x = 622,709.70 × 341,328.55
  4. Step 4: Simplify right side
    415,139.80x = 212,548,598,971.94
  5. Step 5: Solve for x
    x = 212,548,598,971.94/415,139.80
  6. Step 6: Final answer
    x = 511,992.83

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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.