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Finding the Fourth Proportional to 378,802.85, 522,760.50 and 206,730.23

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Solution

The fourth proportional to 378,802.85, 522,760.50 and 206,730.23 is: 285,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,802.85 : 522,760.50 = 206,730.23 : x
  2. Step 2: Convert to fraction form
    378,802.85/522,760.50 = 206,730.23/x
  3. Step 3: Cross multiply
    378,802.85x = 522,760.50 × 206,730.23
  4. Step 4: Simplify right side
    378,802.85x = 108,070,395,786.11
  5. Step 5: Solve for x
    x = 108,070,395,786.11/378,802.85
  6. Step 6: Final answer
    x = 285,294.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.