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Finding the Fourth Proportional to 307,818.63, 461,874.15 and 213,194.43

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Solution

The fourth proportional to 307,818.63, 461,874.15 and 213,194.43 is: 319,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,818.63 : 461,874.15 = 213,194.43 : x
  2. Step 2: Convert to fraction form
    307,818.63/461,874.15 = 213,194.43/x
  3. Step 3: Cross multiply
    307,818.63x = 461,874.15 × 213,194.43
  4. Step 4: Simplify right side
    307,818.63x = 98,468,996,140.98
  5. Step 5: Solve for x
    x = 98,468,996,140.98/307,818.63
  6. Step 6: Final answer
    x = 319,892.91

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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.