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Finding the Fourth Proportional to 427,500.90, 641,251.35 and 411,171.30

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Solution

The fourth proportional to 427,500.90, 641,251.35 and 411,171.30 is: 616,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,500.90 : 641,251.35 = 411,171.30 : x
  2. Step 2: Convert to fraction form
    427,500.90/641,251.35 = 411,171.30/x
  3. Step 3: Cross multiply
    427,500.90x = 641,251.35 × 411,171.30
  4. Step 4: Simplify right side
    427,500.90x = 263,664,151,206.26
  5. Step 5: Solve for x
    x = 263,664,151,206.26/427,500.90
  6. Step 6: Final answer
    x = 616,756.95

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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.