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Finding the Fourth Proportional to 580,880.80, 871,364.40 and 206,855.20

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Solution

The fourth proportional to 580,880.80, 871,364.40 and 206,855.20 is: 310,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,880.80 : 871,364.40 = 206,855.20 : x
  2. Step 2: Convert to fraction form
    580,880.80/871,364.40 = 206,855.20/x
  3. Step 3: Cross multiply
    580,880.80x = 871,364.40 × 206,855.20
  4. Step 4: Simplify right side
    580,880.80x = 180,246,257,234.88
  5. Step 5: Solve for x
    x = 180,246,257,234.88/580,880.80
  6. Step 6: Final answer
    x = 310,298.18

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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.