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Finding the Fourth Proportional to 378,253.40, 521,980.46 and 208,483.80

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Solution

The fourth proportional to 378,253.40, 521,980.46 and 208,483.80 is: 287,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,253.40 : 521,980.46 = 208,483.80 : x
  2. Step 2: Convert to fraction form
    378,253.40/521,980.46 = 208,483.80/x
  3. Step 3: Cross multiply
    378,253.40x = 521,980.46 × 208,483.80
  4. Step 4: Simplify right side
    378,253.40x = 108,824,469,826.55
  5. Step 5: Solve for x
    x = 108,824,469,826.55/378,253.40
  6. Step 6: Final answer
    x = 287,702.56

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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.