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Finding the Fourth Proportional to 415,328.20, 622,761.90 and 165,728.20

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Solution

The fourth proportional to 415,328.20, 622,761.90 and 165,728.20 is: 248,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,328.20 : 622,761.90 = 165,728.20 : x
  2. Step 2: Convert to fraction form
    415,328.20/622,761.90 = 165,728.20/x
  3. Step 3: Cross multiply
    415,328.20x = 622,761.90 × 165,728.20
  4. Step 4: Simplify right side
    415,328.20x = 103,209,208,715.58
  5. Step 5: Solve for x
    x = 103,209,208,715.58/415,328.20
  6. Step 6: Final answer
    x = 248,500.36

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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.