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Finding the Fourth Proportional to 307,395, 460,842.21 and 206,297.28

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Solution

The fourth proportional to 307,395, 460,842.21 and 206,297.28 is: 309,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,395 : 460,842.21 = 206,297.28 : x
  2. Step 2: Convert to fraction form
    307,395/460,842.21 = 206,297.28/x
  3. Step 3: Cross multiply
    307,395x = 460,842.21 × 206,297.28
  4. Step 4: Simplify right side
    307,395x = 95,070,494,432.19
  5. Step 5: Solve for x
    x = 95,070,494,432.19/307,395
  6. Step 6: Final answer
    x = 309,277.95

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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.