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Finding the Fourth Proportional to 589,268.97, 813,191.27 and 320,996.97

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Solution

The fourth proportional to 589,268.97, 813,191.27 and 320,996.97 is: 442,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,268.97 : 813,191.27 = 320,996.97 : x
  2. Step 2: Convert to fraction form
    589,268.97/813,191.27 = 320,996.97/x
  3. Step 3: Cross multiply
    589,268.97x = 813,191.27 × 320,996.97
  4. Step 4: Simplify right side
    589,268.97x = 261,031,932,095.47
  5. Step 5: Solve for x
    x = 261,031,932,095.47/589,268.97
  6. Step 6: Final answer
    x = 442,975.87

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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.