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Finding the Fourth Proportional to 392,456.80, 589,376.40 and 380,015.20

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Solution

The fourth proportional to 392,456.80, 589,376.40 and 380,015.20 is: 570,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,456.80 : 589,376.40 = 380,015.20 : x
  2. Step 2: Convert to fraction form
    392,456.80/589,376.40 = 380,015.20/x
  3. Step 3: Cross multiply
    392,456.80x = 589,376.40 × 380,015.20
  4. Step 4: Simplify right side
    392,456.80x = 223,971,990,521.28
  5. Step 5: Solve for x
    x = 223,971,990,521.28/392,456.80
  6. Step 6: Final answer
    x = 570,692.09

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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.