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Finding the Fourth Proportional to 392,742, 541,983.96 and 213,894

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Solution

The fourth proportional to 392,742, 541,983.96 and 213,894 is: 295,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,742 : 541,983.96 = 213,894 : x
  2. Step 2: Convert to fraction form
    392,742/541,983.96 = 213,894/x
  3. Step 3: Cross multiply
    392,742x = 541,983.96 × 213,894
  4. Step 4: Simplify right side
    392,742x = 115,927,117,140.24
  5. Step 5: Solve for x
    x = 115,927,117,140.24/392,742
  6. Step 6: Final answer
    x = 295,173.72

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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.