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Finding the Fourth Proportional to 392,364, 541,464.48 and 213,516

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Solution

The fourth proportional to 392,364, 541,464.48 and 213,516 is: 294,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,364 : 541,464.48 = 213,516 : x
  2. Step 2: Convert to fraction form
    392,364/541,464.48 = 213,516/x
  3. Step 3: Cross multiply
    392,364x = 541,464.48 × 213,516
  4. Step 4: Simplify right side
    392,364x = 115,611,329,911.68
  5. Step 5: Solve for x
    x = 115,611,329,911.68/392,364
  6. Step 6: Final answer
    x = 294,653.26

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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.