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Finding the Fourth Proportional to 820,165.80, 1,230,248.70 and 687,455.40

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Solution

The fourth proportional to 820,165.80, 1,230,248.70 and 687,455.40 is: 1,031,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,165.80 : 1,230,248.70 = 687,455.40 : x
  2. Step 2: Convert to fraction form
    820,165.80/1,230,248.70 = 687,455.40/x
  3. Step 3: Cross multiply
    820,165.80x = 1,230,248.70 × 687,455.40
  4. Step 4: Simplify right side
    820,165.80x = 845,741,112,157.98
  5. Step 5: Solve for x
    x = 845,741,112,157.98/820,165.80
  6. Step 6: Final answer
    x = 1,031,183.10

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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.