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Finding the Fourth Proportional to 820,120.70, 1,230,375.45 and 420,823.10

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Solution

The fourth proportional to 820,120.70, 1,230,375.45 and 420,823.10 is: 631,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,120.70 : 1,230,375.45 = 420,823.10 : x
  2. Step 2: Convert to fraction form
    820,120.70/1,230,375.45 = 420,823.10/x
  3. Step 3: Cross multiply
    820,120.70x = 1,230,375.45 × 420,823.10
  4. Step 4: Simplify right side
    820,120.70x = 517,770,411,032.90
  5. Step 5: Solve for x
    x = 517,770,411,032.90/820,120.70
  6. Step 6: Final answer
    x = 631,334.40

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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.