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Finding the Fourth Proportional to 331,346.75, 457,114.13 and 208,764.71

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Solution

The fourth proportional to 331,346.75, 457,114.13 and 208,764.71 is: 288,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,346.75 : 457,114.13 = 208,764.71 : x
  2. Step 2: Convert to fraction form
    331,346.75/457,114.13 = 208,764.71/x
  3. Step 3: Cross multiply
    331,346.75x = 457,114.13 × 208,764.71
  4. Step 4: Simplify right side
    331,346.75x = 95,429,298,885.31
  5. Step 5: Solve for x
    x = 95,429,298,885.31/331,346.75
  6. Step 6: Final answer
    x = 288,004.33

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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.