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Finding the Fourth Proportional to 578,723.60, 867,793.80 and 342,138.80

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Solution

The fourth proportional to 578,723.60, 867,793.80 and 342,138.80 is: 513,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,723.60 : 867,793.80 = 342,138.80 : x
  2. Step 2: Convert to fraction form
    578,723.60/867,793.80 = 342,138.80/x
  3. Step 3: Cross multiply
    578,723.60x = 867,793.80 × 342,138.80
  4. Step 4: Simplify right side
    578,723.60x = 296,905,929,379.44
  5. Step 5: Solve for x
    x = 296,905,929,379.44/578,723.60
  6. Step 6: Final answer
    x = 513,035.81

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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.