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Finding the Fourth Proportional to 386,069.60, 578,834.40 and 228,216.80

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Solution

The fourth proportional to 386,069.60, 578,834.40 and 228,216.80 is: 342,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,069.60 : 578,834.40 = 228,216.80 : x
  2. Step 2: Convert to fraction form
    386,069.60/578,834.40 = 228,216.80/x
  3. Step 3: Cross multiply
    386,069.60x = 578,834.40 × 228,216.80
  4. Step 4: Simplify right side
    386,069.60x = 132,099,734,497.92
  5. Step 5: Solve for x
    x = 132,099,734,497.92/386,069.60
  6. Step 6: Final answer
    x = 342,165.60

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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.