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Finding the Fourth Proportional to 378,081.12, 521,753.76 and 208,314.84

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Solution

The fourth proportional to 378,081.12, 521,753.76 and 208,314.84 is: 287,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,081.12 : 521,753.76 = 208,314.84 : x
  2. Step 2: Convert to fraction form
    378,081.12/521,753.76 = 208,314.84/x
  3. Step 3: Cross multiply
    378,081.12x = 521,753.76 × 208,314.84
  4. Step 4: Simplify right side
    378,081.12x = 108,689,051,033.80
  5. Step 5: Solve for x
    x = 108,689,051,033.80/378,081.12
  6. Step 6: Final answer
    x = 287,475.48

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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.