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Finding the Fourth Proportional to 386,074.60, 578,841.90 and 228,221.80

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Solution

The fourth proportional to 386,074.60, 578,841.90 and 228,221.80 is: 342,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,074.60 : 578,841.90 = 228,221.80 : x
  2. Step 2: Convert to fraction form
    386,074.60/578,841.90 = 228,221.80/x
  3. Step 3: Cross multiply
    386,074.60x = 578,841.90 × 228,221.80
  4. Step 4: Simplify right side
    386,074.60x = 132,104,340,333.42
  5. Step 5: Solve for x
    x = 132,104,340,333.42/386,074.60
  6. Step 6: Final answer
    x = 342,173.09

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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.