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Finding the Fourth Proportional to 393,340.80, 589,622.40 and 156,367.20

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Solution

The fourth proportional to 393,340.80, 589,622.40 and 156,367.20 is: 234,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,340.80 : 589,622.40 = 156,367.20 : x
  2. Step 2: Convert to fraction form
    393,340.80/589,622.40 = 156,367.20/x
  3. Step 3: Cross multiply
    393,340.80x = 589,622.40 × 156,367.20
  4. Step 4: Simplify right side
    393,340.80x = 92,197,603,745.28
  5. Step 5: Solve for x
    x = 92,197,603,745.28/393,340.80
  6. Step 6: Final answer
    x = 234,396.24

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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.