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Finding the Fourth Proportional to 340,477.20, 509,938.20 and 200,509.20

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Solution

The fourth proportional to 340,477.20, 509,938.20 and 200,509.20 is: 300,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,477.20 : 509,938.20 = 200,509.20 : x
  2. Step 2: Convert to fraction form
    340,477.20/509,938.20 = 200,509.20/x
  3. Step 3: Cross multiply
    340,477.20x = 509,938.20 × 200,509.20
  4. Step 4: Simplify right side
    340,477.20x = 102,247,300,531.44
  5. Step 5: Solve for x
    x = 102,247,300,531.44/340,477.20
  6. Step 6: Final answer
    x = 300,305.87

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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.