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Finding the Fourth Proportional to 415,234.65, 622,359.90 and 215,452.20

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Solution

The fourth proportional to 415,234.65, 622,359.90 and 215,452.20 is: 322,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,234.65 : 622,359.90 = 215,452.20 : x
  2. Step 2: Convert to fraction form
    415,234.65/622,359.90 = 215,452.20/x
  3. Step 3: Cross multiply
    415,234.65x = 622,359.90 × 215,452.20
  4. Step 4: Simplify right side
    415,234.65x = 134,088,809,646.78
  5. Step 5: Solve for x
    x = 134,088,809,646.78/415,234.65
  6. Step 6: Final answer
    x = 322,922.98

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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.