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Finding the Fourth Proportional to 820,607.60, 1,230,796.20 and 259,698.80

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Solution

The fourth proportional to 820,607.60, 1,230,796.20 and 259,698.80 is: 389,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,607.60 : 1,230,796.20 = 259,698.80 : x
  2. Step 2: Convert to fraction form
    820,607.60/1,230,796.20 = 259,698.80/x
  3. Step 3: Cross multiply
    820,607.60x = 1,230,796.20 × 259,698.80
  4. Step 4: Simplify right side
    820,607.60x = 319,636,296,184.56
  5. Step 5: Solve for x
    x = 319,636,296,184.56/820,607.60
  6. Step 6: Final answer
    x = 389,511.74

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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.