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Finding the Fourth Proportional to 515,575, 773,177.97 and 178,525.19

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Solution

The fourth proportional to 515,575, 773,177.97 and 178,525.19 is: 267,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,575 : 773,177.97 = 178,525.19 : x
  2. Step 2: Convert to fraction form
    515,575/773,177.97 = 178,525.19/x
  3. Step 3: Cross multiply
    515,575x = 773,177.97 × 178,525.19
  4. Step 4: Simplify right side
    515,575x = 138,031,743,998.06
  5. Step 5: Solve for x
    x = 138,031,743,998.06/515,575
  6. Step 6: Final answer
    x = 267,723.89

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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.