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Finding the Fourth Proportional to 312,874.60, 469,530.60 and 200,827.30

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Solution

The fourth proportional to 312,874.60, 469,530.60 and 200,827.30 is: 301,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,874.60 : 469,530.60 = 200,827.30 : x
  2. Step 2: Convert to fraction form
    312,874.60/469,530.60 = 200,827.30/x
  3. Step 3: Cross multiply
    312,874.60x = 469,530.60 × 200,827.30
  4. Step 4: Simplify right side
    312,874.60x = 94,294,562,665.38
  5. Step 5: Solve for x
    x = 94,294,562,665.38/312,874.60
  6. Step 6: Final answer
    x = 301,381.33

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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.