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Finding the Fourth Proportional to 820,157.80, 1,230,236.70 and 707,964.70

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Solution

The fourth proportional to 820,157.80, 1,230,236.70 and 707,964.70 is: 1,061,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,157.80 : 1,230,236.70 = 707,964.70 : x
  2. Step 2: Convert to fraction form
    820,157.80/1,230,236.70 = 707,964.70/x
  3. Step 3: Cross multiply
    820,157.80x = 1,230,236.70 × 707,964.70
  4. Step 4: Simplify right side
    820,157.80x = 870,964,156,244.49
  5. Step 5: Solve for x
    x = 870,964,156,244.49/820,157.80
  6. Step 6: Final answer
    x = 1,061,947.05

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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.