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Finding the Fourth Proportional to 415,072.55, 622,609.00 and 320,440.93

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Solution

The fourth proportional to 415,072.55, 622,609.00 and 320,440.93 is: 480,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,072.55 : 622,609.00 = 320,440.93 : x
  2. Step 2: Convert to fraction form
    415,072.55/622,609.00 = 320,440.93/x
  3. Step 3: Cross multiply
    415,072.55x = 622,609.00 × 320,440.93
  4. Step 4: Simplify right side
    415,072.55x = 199,509,404,628.75
  5. Step 5: Solve for x
    x = 199,509,404,628.75/415,072.55
  6. Step 6: Final answer
    x = 480,661.52

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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.