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Finding the Fourth Proportional to 392,761.86, 589,353.93 and 156,106.50

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Solution

The fourth proportional to 392,761.86, 589,353.93 and 156,106.50 is: 234,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,761.86 : 589,353.93 = 156,106.50 : x
  2. Step 2: Convert to fraction form
    392,761.86/589,353.93 = 156,106.50/x
  3. Step 3: Cross multiply
    392,761.86x = 589,353.93 × 156,106.50
  4. Step 4: Simplify right side
    392,761.86x = 92,001,979,273.55
  5. Step 5: Solve for x
    x = 92,001,979,273.55/392,761.86
  6. Step 6: Final answer
    x = 234,243.67

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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.