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Finding the Fourth Proportional to 820,266.80, 1,230,400.20 and 377,034.80

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Solution

The fourth proportional to 820,266.80, 1,230,400.20 and 377,034.80 is: 565,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,266.80 : 1,230,400.20 = 377,034.80 : x
  2. Step 2: Convert to fraction form
    820,266.80/1,230,400.20 = 377,034.80/x
  3. Step 3: Cross multiply
    820,266.80x = 1,230,400.20 × 377,034.80
  4. Step 4: Simplify right side
    820,266.80x = 463,903,693,326.96
  5. Step 5: Solve for x
    x = 463,903,693,326.96/820,266.80
  6. Step 6: Final answer
    x = 565,552.20

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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.