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Finding the Fourth Proportional to 415,999.56, 622,774.62 and 257,719.08

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Solution

The fourth proportional to 415,999.56, 622,774.62 and 257,719.08 is: 385,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,999.56 : 622,774.62 = 257,719.08 : x
  2. Step 2: Convert to fraction form
    415,999.56/622,774.62 = 257,719.08/x
  3. Step 3: Cross multiply
    415,999.56x = 622,774.62 × 257,719.08
  4. Step 4: Simplify right side
    415,999.56x = 160,500,902,113.75
  5. Step 5: Solve for x
    x = 160,500,902,113.75/415,999.56
  6. Step 6: Final answer
    x = 385,819.88

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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.