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Finding the Fourth Proportional to 820,411.80, 1,230,617.70 and 770,548.20

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Solution

The fourth proportional to 820,411.80, 1,230,617.70 and 770,548.20 is: 1,155,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,411.80 : 1,230,617.70 = 770,548.20 : x
  2. Step 2: Convert to fraction form
    820,411.80/1,230,617.70 = 770,548.20/x
  3. Step 3: Cross multiply
    820,411.80x = 1,230,617.70 × 770,548.20
  4. Step 4: Simplify right side
    820,411.80x = 948,250,253,623.14
  5. Step 5: Solve for x
    x = 948,250,253,623.14/820,411.80
  6. Step 6: Final answer
    x = 1,155,822.30

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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.