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Finding the Fourth Proportional to 585,614.80, 878,465.40 and 211,589.20

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Solution

The fourth proportional to 585,614.80, 878,465.40 and 211,589.20 is: 317,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,614.80 : 878,465.40 = 211,589.20 : x
  2. Step 2: Convert to fraction form
    585,614.80/878,465.40 = 211,589.20/x
  3. Step 3: Cross multiply
    585,614.80x = 878,465.40 × 211,589.20
  4. Step 4: Simplify right side
    585,614.80x = 185,873,791,213.68
  5. Step 5: Solve for x
    x = 185,873,791,213.68/585,614.80
  6. Step 6: Final answer
    x = 317,399.41

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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.