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Finding the Fourth Proportional to 369,873.21, 510,422.89 and 200,103.69

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Solution

The fourth proportional to 369,873.21, 510,422.89 and 200,103.69 is: 276,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,873.21 : 510,422.89 = 200,103.69 : x
  2. Step 2: Convert to fraction form
    369,873.21/510,422.89 = 200,103.69/x
  3. Step 3: Cross multiply
    369,873.21x = 510,422.89 × 200,103.69
  4. Step 4: Simplify right side
    369,873.21x = 102,137,503,749.46
  5. Step 5: Solve for x
    x = 102,137,503,749.46/369,873.21
  6. Step 6: Final answer
    x = 276,141.93

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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.