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Finding the Fourth Proportional to 378,171.64, 521,876.84 and 208,405.76

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Solution

The fourth proportional to 378,171.64, 521,876.84 and 208,405.76 is: 287,599.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,171.64 : 521,876.84 = 208,405.76 : x
  2. Step 2: Convert to fraction form
    378,171.64/521,876.84 = 208,405.76/x
  3. Step 3: Cross multiply
    378,171.64x = 521,876.84 × 208,405.76
  4. Step 4: Simplify right side
    378,171.64x = 108,762,139,466.60
  5. Step 5: Solve for x
    x = 108,762,139,466.60/378,171.64
  6. Step 6: Final answer
    x = 287,599.94

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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.