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Finding the Fourth Proportional to 827,161.80, 1,241,471.70 and 489,780.60

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Solution

The fourth proportional to 827,161.80, 1,241,471.70 and 489,780.60 is: 735,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,161.80 : 1,241,471.70 = 489,780.60 : x
  2. Step 2: Convert to fraction form
    827,161.80/1,241,471.70 = 489,780.60/x
  3. Step 3: Cross multiply
    827,161.80x = 1,241,471.70 × 489,780.60
  4. Step 4: Simplify right side
    827,161.80x = 608,048,754,109.02
  5. Step 5: Solve for x
    x = 608,048,754,109.02/827,161.80
  6. Step 6: Final answer
    x = 735,102.56

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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.