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Finding the Fourth Proportional to 392,211, 541,259.82 and 213,363

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Solution

The fourth proportional to 392,211, 541,259.82 and 213,363 is: 294,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,211 : 541,259.82 = 213,363 : x
  2. Step 2: Convert to fraction form
    392,211/541,259.82 = 213,363/x
  3. Step 3: Cross multiply
    392,211x = 541,259.82 × 213,363
  4. Step 4: Simplify right side
    392,211x = 115,484,818,974.66
  5. Step 5: Solve for x
    x = 115,484,818,974.66/392,211
  6. Step 6: Final answer
    x = 294,445.64

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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.