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Finding the Fourth Proportional to 378,056.61, 521,718.17 and 208,289.25

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Solution

The fourth proportional to 378,056.61, 521,718.17 and 208,289.25 is: 287,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,056.61 : 521,718.17 = 208,289.25 : x
  2. Step 2: Convert to fraction form
    378,056.61/521,718.17 = 208,289.25/x
  3. Step 3: Cross multiply
    378,056.61x = 521,718.17 × 208,289.25
  4. Step 4: Simplify right side
    378,056.61x = 108,668,285,299.23
  5. Step 5: Solve for x
    x = 108,668,285,299.23/378,056.61
  6. Step 6: Final answer
    x = 287,439.19

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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.