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Finding the Fourth Proportional to 307,619.80, 461,429.70 and 217,418.20

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Solution

The fourth proportional to 307,619.80, 461,429.70 and 217,418.20 is: 326,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,619.80 : 461,429.70 = 217,418.20 : x
  2. Step 2: Convert to fraction form
    307,619.80/461,429.70 = 217,418.20/x
  3. Step 3: Cross multiply
    307,619.80x = 461,429.70 × 217,418.20
  4. Step 4: Simplify right side
    307,619.80x = 100,323,214,800.54
  5. Step 5: Solve for x
    x = 100,323,214,800.54/307,619.80
  6. Step 6: Final answer
    x = 326,127.30

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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.