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Finding the Fourth Proportional to 820,605.60, 1,230,793.20 and 259,696.80

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Solution

The fourth proportional to 820,605.60, 1,230,793.20 and 259,696.80 is: 389,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,605.60 : 1,230,793.20 = 259,696.80 : x
  2. Step 2: Convert to fraction form
    820,605.60/1,230,793.20 = 259,696.80/x
  3. Step 3: Cross multiply
    820,605.60x = 1,230,793.20 × 259,696.80
  4. Step 4: Simplify right side
    820,605.60x = 319,633,055,501.76
  5. Step 5: Solve for x
    x = 319,633,055,501.76/820,605.60
  6. Step 6: Final answer
    x = 389,508.74

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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.