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Finding the Fourth Proportional to 392,628.24, 589,117.32 and 205,596

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Solution

The fourth proportional to 392,628.24, 589,117.32 and 205,596 is: 308,485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,628.24 : 589,117.32 = 205,596 : x
  2. Step 2: Convert to fraction form
    392,628.24/589,117.32 = 205,596/x
  3. Step 3: Cross multiply
    392,628.24x = 589,117.32 × 205,596
  4. Step 4: Simplify right side
    392,628.24x = 121,120,164,522.72
  5. Step 5: Solve for x
    x = 121,120,164,522.72/392,628.24
  6. Step 6: Final answer
    x = 308,485.62

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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.