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Finding the Fourth Proportional to 347,680.14, 479,782 and 213,518.22

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Solution

The fourth proportional to 347,680.14, 479,782 and 213,518.22 is: 294,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,680.14 : 479,782 = 213,518.22 : x
  2. Step 2: Convert to fraction form
    347,680.14/479,782 = 213,518.22/x
  3. Step 3: Cross multiply
    347,680.14x = 479,782 × 213,518.22
  4. Step 4: Simplify right side
    347,680.14x = 102,442,198,628.04
  5. Step 5: Solve for x
    x = 102,442,198,628.04/347,680.14
  6. Step 6: Final answer
    x = 294,644.95

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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.