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Finding the Fourth Proportional to 500,583.50, 690,854.80 and 285,755.88

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Solution

The fourth proportional to 500,583.50, 690,854.80 and 285,755.88 is: 394,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,583.50 : 690,854.80 = 285,755.88 : x
  2. Step 2: Convert to fraction form
    500,583.50/690,854.80 = 285,755.88/x
  3. Step 3: Cross multiply
    500,583.50x = 690,854.80 × 285,755.88
  4. Step 4: Simplify right side
    500,583.50x = 197,415,821,326.22
  5. Step 5: Solve for x
    x = 197,415,821,326.22/500,583.50
  6. Step 6: Final answer
    x = 394,371.41

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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.