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Finding the Fourth Proportional to 415,223.20, 622,604.40 and 165,623.20

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Solution

The fourth proportional to 415,223.20, 622,604.40 and 165,623.20 is: 248,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,223.20 : 622,604.40 = 165,623.20 : x
  2. Step 2: Convert to fraction form
    415,223.20/622,604.40 = 165,623.20/x
  3. Step 3: Cross multiply
    415,223.20x = 622,604.40 × 165,623.20
  4. Step 4: Simplify right side
    415,223.20x = 103,117,733,062.08
  5. Step 5: Solve for x
    x = 103,117,733,062.08/415,223.20
  6. Step 6: Final answer
    x = 248,342.90

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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.