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Finding the Fourth Proportional to 392,713.80, 589,070.70 and 363,845.40

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Solution

The fourth proportional to 392,713.80, 589,070.70 and 363,845.40 is: 545,768.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,713.80 : 589,070.70 = 363,845.40 : x
  2. Step 2: Convert to fraction form
    392,713.80/589,070.70 = 363,845.40/x
  3. Step 3: Cross multiply
    392,713.80x = 589,070.70 × 363,845.40
  4. Step 4: Simplify right side
    392,713.80x = 214,330,664,469.78
  5. Step 5: Solve for x
    x = 214,330,664,469.78/392,713.80
  6. Step 6: Final answer
    x = 545,768.10

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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.