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Finding the Fourth Proportional to 415,433.74, 622,900.94 and 162,412.86

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Solution

The fourth proportional to 415,433.74, 622,900.94 and 162,412.86 is: 243,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,433.74 : 622,900.94 = 162,412.86 : x
  2. Step 2: Convert to fraction form
    415,433.74/622,900.94 = 162,412.86/x
  3. Step 3: Cross multiply
    415,433.74x = 622,900.94 × 162,412.86
  4. Step 4: Simplify right side
    415,433.74x = 101,167,123,162.09
  5. Step 5: Solve for x
    x = 101,167,123,162.09/415,433.74
  6. Step 6: Final answer
    x = 243,521.68

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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.