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Finding the Fourth Proportional to 313,068.92, 469,399.14 and 206,129.20

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Solution

The fourth proportional to 313,068.92, 469,399.14 and 206,129.20 is: 309,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,068.92 : 469,399.14 = 206,129.20 : x
  2. Step 2: Convert to fraction form
    313,068.92/469,399.14 = 206,129.20/x
  3. Step 3: Cross multiply
    313,068.92x = 469,399.14 × 206,129.20
  4. Step 4: Simplify right side
    313,068.92x = 96,756,869,208.89
  5. Step 5: Solve for x
    x = 96,756,869,208.89/313,068.92
  6. Step 6: Final answer
    x = 309,059.33

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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.