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Finding the Fourth Proportional to 378,072.76, 521,736.26 and 216,953.16

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Solution

The fourth proportional to 378,072.76, 521,736.26 and 216,953.16 is: 299,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,072.76 : 521,736.26 = 216,953.16 : x
  2. Step 2: Convert to fraction form
    378,072.76/521,736.26 = 216,953.16/x
  3. Step 3: Cross multiply
    378,072.76x = 521,736.26 × 216,953.16
  4. Step 4: Simplify right side
    378,072.76x = 113,192,330,293.58
  5. Step 5: Solve for x
    x = 113,192,330,293.58/378,072.76
  6. Step 6: Final answer
    x = 299,392.98

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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.