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Finding the Fourth Proportional to 420,012.89, 579,662.19 and 256,764.96

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Solution

The fourth proportional to 420,012.89, 579,662.19 and 256,764.96 is: 354,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,012.89 : 579,662.19 = 256,764.96 : x
  2. Step 2: Convert to fraction form
    420,012.89/579,662.19 = 256,764.96/x
  3. Step 3: Cross multiply
    420,012.89x = 579,662.19 × 256,764.96
  4. Step 4: Simplify right side
    420,012.89x = 148,836,939,575.94
  5. Step 5: Solve for x
    x = 148,836,939,575.94/420,012.89
  6. Step 6: Final answer
    x = 354,362.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.