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Finding the Fourth Proportional to 386,794.40, 580,191.60 and 106,311.20

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Solution

The fourth proportional to 386,794.40, 580,191.60 and 106,311.20 is: 159,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,794.40 : 580,191.60 = 106,311.20 : x
  2. Step 2: Convert to fraction form
    386,794.40/580,191.60 = 106,311.20/x
  3. Step 3: Cross multiply
    386,794.40x = 580,191.60 × 106,311.20
  4. Step 4: Simplify right side
    386,794.40x = 61,680,865,225.92
  5. Step 5: Solve for x
    x = 61,680,865,225.92/386,794.40
  6. Step 6: Final answer
    x = 159,466.80

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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.