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Finding the Fourth Proportional to 378,124.32, 521,822.54 and 208,369.38

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Solution

The fourth proportional to 378,124.32, 521,822.54 and 208,369.38 is: 287,555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,124.32 : 521,822.54 = 208,369.38 : x
  2. Step 2: Convert to fraction form
    378,124.32/521,822.54 = 208,369.38/x
  3. Step 3: Cross multiply
    378,124.32x = 521,822.54 × 208,369.38
  4. Step 4: Simplify right side
    378,124.32x = 108,731,838,087.98
  5. Step 5: Solve for x
    x = 108,731,838,087.98/378,124.32
  6. Step 6: Final answer
    x = 287,555.79

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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.