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Finding the Fourth Proportional to 517,769.10, 775,766.70 and 411,480.90

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Solution

The fourth proportional to 517,769.10, 775,766.70 and 411,480.90 is: 616,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,769.10 : 775,766.70 = 411,480.90 : x
  2. Step 2: Convert to fraction form
    517,769.10/775,766.70 = 411,480.90/x
  3. Step 3: Cross multiply
    517,769.10x = 775,766.70 × 411,480.90
  4. Step 4: Simplify right side
    517,769.10x = 319,213,179,906.03
  5. Step 5: Solve for x
    x = 319,213,179,906.03/517,769.10
  6. Step 6: Final answer
    x = 616,516.47

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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.