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Finding the Fourth Proportional to 397,798.20, 597,023.70 and 394,687.80

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Solution

The fourth proportional to 397,798.20, 597,023.70 and 394,687.80 is: 592,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,798.20 : 597,023.70 = 394,687.80 : x
  2. Step 2: Convert to fraction form
    397,798.20/597,023.70 = 394,687.80/x
  3. Step 3: Cross multiply
    397,798.20x = 597,023.70 × 394,687.80
  4. Step 4: Simplify right side
    397,798.20x = 235,637,970,700.86
  5. Step 5: Solve for x
    x = 235,637,970,700.86/397,798.20
  6. Step 6: Final answer
    x = 592,355.55

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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.