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Finding the Fourth Proportional to 392,868.42, 589,340.61 and 156,157.98

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Solution

The fourth proportional to 392,868.42, 589,340.61 and 156,157.98 is: 234,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,868.42 : 589,340.61 = 156,157.98 : x
  2. Step 2: Convert to fraction form
    392,868.42/589,340.61 = 156,157.98/x
  3. Step 3: Cross multiply
    392,868.42x = 589,340.61 × 156,157.98
  4. Step 4: Simplify right side
    392,868.42x = 92,030,239,189.57
  5. Step 5: Solve for x
    x = 92,030,239,189.57/392,868.42
  6. Step 6: Final answer
    x = 234,252.07

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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.