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Finding the Fourth Proportional to 492,830.70, 739,246.05 and 427,876.80

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Solution

The fourth proportional to 492,830.70, 739,246.05 and 427,876.80 is: 641,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,830.70 : 739,246.05 = 427,876.80 : x
  2. Step 2: Convert to fraction form
    492,830.70/739,246.05 = 427,876.80/x
  3. Step 3: Cross multiply
    492,830.70x = 739,246.05 × 427,876.80
  4. Step 4: Simplify right side
    492,830.70x = 316,306,234,286.64
  5. Step 5: Solve for x
    x = 316,306,234,286.64/492,830.70
  6. Step 6: Final answer
    x = 641,815.20

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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.