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Finding the Fourth Proportional to 371,963.94, 513,299.43 and 210,833.82

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Solution

The fourth proportional to 371,963.94, 513,299.43 and 210,833.82 is: 290,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,963.94 : 513,299.43 = 210,833.82 : x
  2. Step 2: Convert to fraction form
    371,963.94/513,299.43 = 210,833.82/x
  3. Step 3: Cross multiply
    371,963.94x = 513,299.43 × 210,833.82
  4. Step 4: Simplify right side
    371,963.94x = 108,220,879,630.72
  5. Step 5: Solve for x
    x = 108,220,879,630.72/371,963.94
  6. Step 6: Final answer
    x = 290,944.55

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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.