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Finding the Fourth Proportional to 392,130.88, 541,140.96 and 213,282.88

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Solution

The fourth proportional to 392,130.88, 541,140.96 and 213,282.88 is: 294,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,130.88 : 541,140.96 = 213,282.88 : x
  2. Step 2: Convert to fraction form
    392,130.88/541,140.96 = 213,282.88/x
  3. Step 3: Cross multiply
    392,130.88x = 541,140.96 × 213,282.88
  4. Step 4: Simplify right side
    392,130.88x = 115,416,102,434.77
  5. Step 5: Solve for x
    x = 115,416,102,434.77/392,130.88
  6. Step 6: Final answer
    x = 294,330.56

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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.