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Finding the Fourth Proportional to 392,148, 541,164.24 and 213,300

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Solution

The fourth proportional to 392,148, 541,164.24 and 213,300 is: 294,354

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,148 : 541,164.24 = 213,300 : x
  2. Step 2: Convert to fraction form
    392,148/541,164.24 = 213,300/x
  3. Step 3: Cross multiply
    392,148x = 541,164.24 × 213,300
  4. Step 4: Simplify right side
    392,148x = 115,430,332,392
  5. Step 5: Solve for x
    x = 115,430,332,392/392,148
  6. Step 6: Final answer
    x = 294,354

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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.