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Finding the Fourth Proportional to 905,157, 1,357,910.34 and 344,147.88

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Solution

The fourth proportional to 905,157, 1,357,910.34 and 344,147.88 is: 516,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,157 : 1,357,910.34 = 344,147.88 : x
  2. Step 2: Convert to fraction form
    905,157/1,357,910.34 = 344,147.88/x
  3. Step 3: Cross multiply
    905,157x = 1,357,910.34 × 344,147.88
  4. Step 4: Simplify right side
    905,157x = 467,321,964,741.08
  5. Step 5: Solve for x
    x = 467,321,964,741.08/905,157
  6. Step 6: Final answer
    x = 516,288.30

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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.