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Finding the Fourth Proportional to 415,787.30, 622,514.55 and 404,123.30

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Solution

The fourth proportional to 415,787.30, 622,514.55 and 404,123.30 is: 605,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,787.30 : 622,514.55 = 404,123.30 : x
  2. Step 2: Convert to fraction form
    415,787.30/622,514.55 = 404,123.30/x
  3. Step 3: Cross multiply
    415,787.30x = 622,514.55 × 404,123.30
  4. Step 4: Simplify right side
    415,787.30x = 251,572,634,244.02
  5. Step 5: Solve for x
    x = 251,572,634,244.02/415,787.30
  6. Step 6: Final answer
    x = 605,051.27

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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.