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Finding the Fourth Proportional to 500,857.24, 691,422.39 and 285,955.80

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Solution

The fourth proportional to 500,857.24, 691,422.39 and 285,955.80 is: 394,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,857.24 : 691,422.39 = 285,955.80 : x
  2. Step 2: Convert to fraction form
    500,857.24/691,422.39 = 285,955.80/x
  3. Step 3: Cross multiply
    500,857.24x = 691,422.39 × 285,955.80
  4. Step 4: Simplify right side
    500,857.24x = 197,716,242,670.36
  5. Step 5: Solve for x
    x = 197,716,242,670.36/500,857.24
  6. Step 6: Final answer
    x = 394,755.69

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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.