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Finding the Fourth Proportional to 501,503.60, 691,893.36 and 329,514.14

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Solution

The fourth proportional to 501,503.60, 691,893.36 and 329,514.14 is: 454,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,503.60 : 691,893.36 = 329,514.14 : x
  2. Step 2: Convert to fraction form
    501,503.60/691,893.36 = 329,514.14/x
  3. Step 3: Cross multiply
    501,503.60x = 691,893.36 × 329,514.14
  4. Step 4: Simplify right side
    501,503.60x = 227,988,647,221.84
  5. Step 5: Solve for x
    x = 227,988,647,221.84/501,503.60
  6. Step 6: Final answer
    x = 454,610.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.