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Finding the Fourth Proportional to 415,255.70, 622,653.15 and 165,655.70

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Solution

The fourth proportional to 415,255.70, 622,653.15 and 165,655.70 is: 248,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,255.70 : 622,653.15 = 165,655.70 : x
  2. Step 2: Convert to fraction form
    415,255.70/622,653.15 = 165,655.70/x
  3. Step 3: Cross multiply
    415,255.70x = 622,653.15 × 165,655.70
  4. Step 4: Simplify right side
    415,255.70x = 103,146,043,420.46
  5. Step 5: Solve for x
    x = 103,146,043,420.46/415,255.70
  6. Step 6: Final answer
    x = 248,391.64

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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.