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Finding the Fourth Proportional to 415,620.86, 623,496.90 and 135,072.50

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Solution

The fourth proportional to 415,620.86, 623,496.90 and 135,072.50 is: 202,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,620.86 : 623,496.90 = 135,072.50 : x
  2. Step 2: Convert to fraction form
    415,620.86/623,496.90 = 135,072.50/x
  3. Step 3: Cross multiply
    415,620.86x = 623,496.90 × 135,072.50
  4. Step 4: Simplify right side
    415,620.86x = 84,217,285,025.25
  5. Step 5: Solve for x
    x = 84,217,285,025.25/415,620.86
  6. Step 6: Final answer
    x = 202,630.07

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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.