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Finding the Fourth Proportional to 306,042.40, 459,063.60 and 206,509.60

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Solution

The fourth proportional to 306,042.40, 459,063.60 and 206,509.60 is: 309,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,042.40 : 459,063.60 = 206,509.60 : x
  2. Step 2: Convert to fraction form
    306,042.40/459,063.60 = 206,509.60/x
  3. Step 3: Cross multiply
    306,042.40x = 459,063.60 × 206,509.60
  4. Step 4: Simplify right side
    306,042.40x = 94,801,040,410.56
  5. Step 5: Solve for x
    x = 94,801,040,410.56/306,042.40
  6. Step 6: Final answer
    x = 309,764.40

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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.