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Finding the Fourth Proportional to 378,045.36, 521,702.64 and 208,278

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Solution

The fourth proportional to 378,045.36, 521,702.64 and 208,278 is: 287,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,045.36 : 521,702.64 = 208,278 : x
  2. Step 2: Convert to fraction form
    378,045.36/521,702.64 = 208,278/x
  3. Step 3: Cross multiply
    378,045.36x = 521,702.64 × 208,278
  4. Step 4: Simplify right side
    378,045.36x = 108,659,182,453.92
  5. Step 5: Solve for x
    x = 108,659,182,453.92/378,045.36
  6. Step 6: Final answer
    x = 287,423.66

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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.