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Finding the Fourth Proportional to 397,402.60, 596,103.90 and 394,637.80

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Solution

The fourth proportional to 397,402.60, 596,103.90 and 394,637.80 is: 591,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,402.60 : 596,103.90 = 394,637.80 : x
  2. Step 2: Convert to fraction form
    397,402.60/596,103.90 = 394,637.80/x
  3. Step 3: Cross multiply
    397,402.60x = 596,103.90 × 394,637.80
  4. Step 4: Simplify right side
    397,402.60x = 235,245,131,667.42
  5. Step 5: Solve for x
    x = 235,245,131,667.42/397,402.60
  6. Step 6: Final answer
    x = 591,956.70

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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.