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Finding the Fourth Proportional to 361,421.53, 498,764.64 and 200,279.27

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Solution

The fourth proportional to 361,421.53, 498,764.64 and 200,279.27 is: 276,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,421.53 : 498,764.64 = 200,279.27 : x
  2. Step 2: Convert to fraction form
    361,421.53/498,764.64 = 200,279.27/x
  3. Step 3: Cross multiply
    361,421.53x = 498,764.64 × 200,279.27
  4. Step 4: Simplify right side
    361,421.53x = 99,892,216,066.85
  5. Step 5: Solve for x
    x = 99,892,216,066.85/361,421.53
  6. Step 6: Final answer
    x = 276,387.01

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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.