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Finding the Fourth Proportional to 415,687.62, 622,897.19 and 216,072.84

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Solution

The fourth proportional to 415,687.62, 622,897.19 and 216,072.84 is: 323,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,687.62 : 622,897.19 = 216,072.84 : x
  2. Step 2: Convert to fraction form
    415,687.62/622,897.19 = 216,072.84/x
  3. Step 3: Cross multiply
    415,687.62x = 622,897.19 × 216,072.84
  4. Step 4: Simplify right side
    415,687.62x = 134,591,164,871.32
  5. Step 5: Solve for x
    x = 134,591,164,871.32/415,687.62
  6. Step 6: Final answer
    x = 323,779.58

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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.