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Finding the Fourth Proportional to 397,615.86, 596,197.86 and 271,408.89

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Solution

The fourth proportional to 397,615.86, 596,197.86 and 271,408.89 is: 406,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,615.86 : 596,197.86 = 271,408.89 : x
  2. Step 2: Convert to fraction form
    397,615.86/596,197.86 = 271,408.89/x
  3. Step 3: Cross multiply
    397,615.86x = 596,197.86 × 271,408.89
  4. Step 4: Simplify right side
    397,615.86x = 161,813,399,402.98
  5. Step 5: Solve for x
    x = 161,813,399,402.98/397,615.86
  6. Step 6: Final answer
    x = 406,959.12

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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.