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Finding the Fourth Proportional to 361,066, 498,288.20 and 217,822.98

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Solution

The fourth proportional to 361,066, 498,288.20 and 217,822.98 is: 300,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,066 : 498,288.20 = 217,822.98 : x
  2. Step 2: Convert to fraction form
    361,066/498,288.20 = 217,822.98/x
  3. Step 3: Cross multiply
    361,066x = 498,288.20 × 217,822.98
  4. Step 4: Simplify right side
    361,066x = 108,538,620,622.84
  5. Step 5: Solve for x
    x = 108,538,620,622.84/361,066
  6. Step 6: Final answer
    x = 300,606.04

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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.