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Finding the Fourth Proportional to 392,820.94, 589,265.35 and 108,511.38

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Solution

The fourth proportional to 392,820.94, 589,265.35 and 108,511.38 is: 162,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,820.94 : 589,265.35 = 108,511.38 : x
  2. Step 2: Convert to fraction form
    392,820.94/589,265.35 = 108,511.38/x
  3. Step 3: Cross multiply
    392,820.94x = 589,265.35 × 108,511.38
  4. Step 4: Simplify right side
    392,820.94x = 63,941,996,043.40
  5. Step 5: Solve for x
    x = 63,941,996,043.40/392,820.94
  6. Step 6: Final answer
    x = 162,776.44

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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.