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Finding the Fourth Proportional to 340,499.20, 509,971.20 and 200,531.20

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Solution

The fourth proportional to 340,499.20, 509,971.20 and 200,531.20 is: 300,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,499.20 : 509,971.20 = 200,531.20 : x
  2. Step 2: Convert to fraction form
    340,499.20/509,971.20 = 200,531.20/x
  3. Step 3: Cross multiply
    340,499.20x = 509,971.20 × 200,531.20
  4. Step 4: Simplify right side
    340,499.20x = 102,265,136,701.44
  5. Step 5: Solve for x
    x = 102,265,136,701.44/340,499.20
  6. Step 6: Final answer
    x = 300,338.85

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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.