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Finding the Fourth Proportional to 492,812.70, 739,219.05 and 427,858.80

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Solution

The fourth proportional to 492,812.70, 739,219.05 and 427,858.80 is: 641,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,812.70 : 739,219.05 = 427,858.80 : x
  2. Step 2: Convert to fraction form
    492,812.70/739,219.05 = 427,858.80/x
  3. Step 3: Cross multiply
    492,812.70x = 739,219.05 × 427,858.80
  4. Step 4: Simplify right side
    492,812.70x = 316,281,375,670.14
  5. Step 5: Solve for x
    x = 316,281,375,670.14/492,812.70
  6. Step 6: Final answer
    x = 641,788.20

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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.