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Finding the Fourth Proportional to 392,423.66, 541,528.65 and 222,654.14

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Solution

The fourth proportional to 392,423.66, 541,528.65 and 222,654.14 is: 307,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,423.66 : 541,528.65 = 222,654.14 : x
  2. Step 2: Convert to fraction form
    392,423.66/541,528.65 = 222,654.14/x
  3. Step 3: Cross multiply
    392,423.66x = 541,528.65 × 222,654.14
  4. Step 4: Simplify right side
    392,423.66x = 120,573,595,851.11
  5. Step 5: Solve for x
    x = 120,573,595,851.11/392,423.66
  6. Step 6: Final answer
    x = 307,253.63

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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.