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Finding the Fourth Proportional to 809,966.22, 1,214,932.92 and 210,914.11

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Solution

The fourth proportional to 809,966.22, 1,214,932.92 and 210,914.11 is: 316,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,966.22 : 1,214,932.92 = 210,914.11 : x
  2. Step 2: Convert to fraction form
    809,966.22/1,214,932.92 = 210,914.11/x
  3. Step 3: Cross multiply
    809,966.22x = 1,214,932.92 × 210,914.11
  4. Step 4: Simplify right side
    809,966.22x = 256,246,495,531.50
  5. Step 5: Solve for x
    x = 256,246,495,531.50/809,966.22
  6. Step 6: Final answer
    x = 316,366.89

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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.