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Finding the Fourth Proportional to 392,712.30, 589,068.45 and 363,843.90

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Solution

The fourth proportional to 392,712.30, 589,068.45 and 363,843.90 is: 545,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,712.30 : 589,068.45 = 363,843.90 : x
  2. Step 2: Convert to fraction form
    392,712.30/589,068.45 = 363,843.90/x
  3. Step 3: Cross multiply
    392,712.30x = 589,068.45 × 363,843.90
  4. Step 4: Simplify right side
    392,712.30x = 214,328,962,214.96
  5. Step 5: Solve for x
    x = 214,328,962,214.96/392,712.30
  6. Step 6: Final answer
    x = 545,765.85

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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.