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Finding the Fourth Proportional to 500,695.68, 691,024.32 and 285,786.48

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Solution

The fourth proportional to 500,695.68, 691,024.32 and 285,786.48 is: 394,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,695.68 : 691,024.32 = 285,786.48 : x
  2. Step 2: Convert to fraction form
    500,695.68/691,024.32 = 285,786.48/x
  3. Step 3: Cross multiply
    500,695.68x = 691,024.32 × 285,786.48
  4. Step 4: Simplify right side
    500,695.68x = 197,485,408,007.19
  5. Step 5: Solve for x
    x = 197,485,408,007.19/500,695.68
  6. Step 6: Final answer
    x = 394,422.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.