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Finding the Fourth Proportional to 392,021.80, 588,328.64 and 287,112.76

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Solution

The fourth proportional to 392,021.80, 588,328.64 and 287,112.76 is: 430,885.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,021.80 : 588,328.64 = 287,112.76 : x
  2. Step 2: Convert to fraction form
    392,021.80/588,328.64 = 287,112.76/x
  3. Step 3: Cross multiply
    392,021.80x = 588,328.64 × 287,112.76
  4. Step 4: Simplify right side
    392,021.80x = 168,916,659,617.45
  5. Step 5: Solve for x
    x = 168,916,659,617.45/392,021.80
  6. Step 6: Final answer
    x = 430,885.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.