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Finding the Fourth Proportional to 392,951.42, 589,655.85 and 165,230.57

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Solution

The fourth proportional to 392,951.42, 589,655.85 and 165,230.57 is: 247,942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,951.42 : 589,655.85 = 165,230.57 : x
  2. Step 2: Convert to fraction form
    392,951.42/589,655.85 = 165,230.57/x
  3. Step 3: Cross multiply
    392,951.42x = 589,655.85 × 165,230.57
  4. Step 4: Simplify right side
    392,951.42x = 97,429,173,053.86
  5. Step 5: Solve for x
    x = 97,429,173,053.86/392,951.42
  6. Step 6: Final answer
    x = 247,942.03

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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.