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Finding the Fourth Proportional to 275,457.38, 413,255.54 and 133,370.71

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Solution

The fourth proportional to 275,457.38, 413,255.54 and 133,370.71 is: 200,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,457.38 : 413,255.54 = 133,370.71 : x
  2. Step 2: Convert to fraction form
    275,457.38/413,255.54 = 133,370.71/x
  3. Step 3: Cross multiply
    275,457.38x = 413,255.54 × 133,370.71
  4. Step 4: Simplify right side
    275,457.38x = 55,116,184,081.52
  5. Step 5: Solve for x
    x = 55,116,184,081.52/275,457.38
  6. Step 6: Final answer
    x = 200,089.70

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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.