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Finding the Fourth Proportional to 808,471.80, 1,212,711.30 and 209,390.40

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Solution

The fourth proportional to 808,471.80, 1,212,711.30 and 209,390.40 is: 314,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,471.80 : 1,212,711.30 = 209,390.40 : x
  2. Step 2: Convert to fraction form
    808,471.80/1,212,711.30 = 209,390.40/x
  3. Step 3: Cross multiply
    808,471.80x = 1,212,711.30 × 209,390.40
  4. Step 4: Simplify right side
    808,471.80x = 253,930,104,191.52
  5. Step 5: Solve for x
    x = 253,930,104,191.52/808,471.80
  6. Step 6: Final answer
    x = 314,086.53

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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.