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Finding the Fourth Proportional to 809,965.22, 1,214,931.42 and 210,913.11

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Solution

The fourth proportional to 809,965.22, 1,214,931.42 and 210,913.11 is: 316,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,965.22 : 1,214,931.42 = 210,913.11 : x
  2. Step 2: Convert to fraction form
    809,965.22/1,214,931.42 = 210,913.11/x
  3. Step 3: Cross multiply
    809,965.22x = 1,214,931.42 × 210,913.11
  4. Step 4: Simplify right side
    809,965.22x = 256,244,964,228.92
  5. Step 5: Solve for x
    x = 256,244,964,228.92/809,965.22
  6. Step 6: Final answer
    x = 316,365.39

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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.