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Finding the Fourth Proportional to 415,222.29, 622,833.45 and 99,679.20

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Solution

The fourth proportional to 415,222.29, 622,833.45 and 99,679.20 is: 149,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,222.29 : 622,833.45 = 99,679.20 : x
  2. Step 2: Convert to fraction form
    415,222.29/622,833.45 = 99,679.20/x
  3. Step 3: Cross multiply
    415,222.29x = 622,833.45 × 99,679.20
  4. Step 4: Simplify right side
    415,222.29x = 62,083,540,029.24
  5. Step 5: Solve for x
    x = 62,083,540,029.24/415,222.29
  6. Step 6: Final answer
    x = 149,518.80

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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.