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Finding the Fourth Proportional to 809,558, 1,214,395.32 and 310,922

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Solution

The fourth proportional to 809,558, 1,214,395.32 and 310,922 is: 466,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,558 : 1,214,395.32 = 310,922 : x
  2. Step 2: Convert to fraction form
    809,558/1,214,395.32 = 310,922/x
  3. Step 3: Cross multiply
    809,558x = 1,214,395.32 × 310,922
  4. Step 4: Simplify right side
    809,558x = 377,582,221,685.04
  5. Step 5: Solve for x
    x = 377,582,221,685.04/809,558
  6. Step 6: Final answer
    x = 466,405.40

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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.