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Finding the Fourth Proportional to 302,516.85, 417,163.82 and 200,506.89

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Solution

The fourth proportional to 302,516.85, 417,163.82 and 200,506.89 is: 276,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,516.85 : 417,163.82 = 200,506.89 : x
  2. Step 2: Convert to fraction form
    302,516.85/417,163.82 = 200,506.89/x
  3. Step 3: Cross multiply
    302,516.85x = 417,163.82 × 200,506.89
  4. Step 4: Simplify right side
    302,516.85x = 83,644,219,166.19
  5. Step 5: Solve for x
    x = 83,644,219,166.19/302,516.85
  6. Step 6: Final answer
    x = 276,494.41

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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.