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Finding the Fourth Proportional to 415,222.56, 622,834.20 and 297,124.56

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Solution

The fourth proportional to 415,222.56, 622,834.20 and 297,124.56 is: 445,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,222.56 : 622,834.20 = 297,124.56 : x
  2. Step 2: Convert to fraction form
    415,222.56/622,834.20 = 297,124.56/x
  3. Step 3: Cross multiply
    415,222.56x = 622,834.20 × 297,124.56
  4. Step 4: Simplify right side
    415,222.56x = 185,059,337,627.95
  5. Step 5: Solve for x
    x = 185,059,337,627.95/415,222.56
  6. Step 6: Final answer
    x = 445,687.10

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1.5x scale

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.