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Finding the Fourth Proportional to 522,057.80, 784,757.10 and 485,078.60

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Solution

The fourth proportional to 522,057.80, 784,757.10 and 485,078.60 is: 729,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,057.80 : 784,757.10 = 485,078.60 : x
  2. Step 2: Convert to fraction form
    522,057.80/784,757.10 = 485,078.60/x
  3. Step 3: Cross multiply
    522,057.80x = 784,757.10 × 485,078.60
  4. Step 4: Simplify right side
    522,057.80x = 380,668,875,408.06
  5. Step 5: Solve for x
    x = 380,668,875,408.06/522,057.80
  6. Step 6: Final answer
    x = 729,169.98

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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.