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Finding the Fourth Proportional to 393,645.46, 590,561.90 and 127,405.96

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Solution

The fourth proportional to 393,645.46, 590,561.90 and 127,405.96 is: 191,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,645.46 : 590,561.90 = 127,405.96 : x
  2. Step 2: Convert to fraction form
    393,645.46/590,561.90 = 127,405.96/x
  3. Step 3: Cross multiply
    393,645.46x = 590,561.90 × 127,405.96
  4. Step 4: Simplify right side
    393,645.46x = 75,241,105,808.92
  5. Step 5: Solve for x
    x = 75,241,105,808.92/393,645.46
  6. Step 6: Final answer
    x = 191,139.27

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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.