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Finding the Fourth Proportional to 397,428.86, 596,016.84 and 131,139.74

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Solution

The fourth proportional to 397,428.86, 596,016.84 and 131,139.74 is: 196,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,428.86 : 596,016.84 = 131,139.74 : x
  2. Step 2: Convert to fraction form
    397,428.86/596,016.84 = 131,139.74/x
  3. Step 3: Cross multiply
    397,428.86x = 596,016.84 × 131,139.74
  4. Step 4: Simplify right side
    397,428.86x = 78,161,493,433.22
  5. Step 5: Solve for x
    x = 78,161,493,433.22/397,428.86
  6. Step 6: Final answer
    x = 196,667.89

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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.