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Finding the Fourth Proportional to 853,660.80, 1,280,114 and 454,206.88

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Solution

The fourth proportional to 853,660.80, 1,280,114 and 454,206.88 is: 681,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,660.80 : 1,280,114 = 454,206.88 : x
  2. Step 2: Convert to fraction form
    853,660.80/1,280,114 = 454,206.88/x
  3. Step 3: Cross multiply
    853,660.80x = 1,280,114 × 454,206.88
  4. Step 4: Simplify right side
    853,660.80x = 581,436,585,984.32
  5. Step 5: Solve for x
    x = 581,436,585,984.32/853,660.80
  6. Step 6: Final answer
    x = 681,109.62

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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.