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Finding the Fourth Proportional to 312,873.60, 469,529.10 and 200,826.30

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Solution

The fourth proportional to 312,873.60, 469,529.10 and 200,826.30 is: 301,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,873.60 : 469,529.10 = 200,826.30 : x
  2. Step 2: Convert to fraction form
    312,873.60/469,529.10 = 200,826.30/x
  3. Step 3: Cross multiply
    312,873.60x = 469,529.10 × 200,826.30
  4. Step 4: Simplify right side
    312,873.60x = 94,293,791,895.33
  5. Step 5: Solve for x
    x = 94,293,791,895.33/312,873.60
  6. Step 6: Final answer
    x = 301,379.83

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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.