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Finding the Fourth Proportional to 361,644.66, 499,071.51 and 208,689.26

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Solution

The fourth proportional to 361,644.66, 499,071.51 and 208,689.26 is: 287,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,644.66 : 499,071.51 = 208,689.26 : x
  2. Step 2: Convert to fraction form
    361,644.66/499,071.51 = 208,689.26/x
  3. Step 3: Cross multiply
    361,644.66x = 499,071.51 × 208,689.26
  4. Step 4: Simplify right side
    361,644.66x = 104,150,861,613.63
  5. Step 5: Solve for x
    x = 104,150,861,613.63/361,644.66
  6. Step 6: Final answer
    x = 287,992.26

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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.