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Finding the Fourth Proportional to 465,679.88, 642,691.49 and 258,968.89

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Solution

The fourth proportional to 465,679.88, 642,691.49 and 258,968.89 is: 357,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,679.88 : 642,691.49 = 258,968.89 : x
  2. Step 2: Convert to fraction form
    465,679.88/642,691.49 = 258,968.89/x
  3. Step 3: Cross multiply
    465,679.88x = 642,691.49 × 258,968.89
  4. Step 4: Simplify right side
    465,679.88x = 166,437,101,777.75
  5. Step 5: Solve for x
    x = 166,437,101,777.75/465,679.88
  6. Step 6: Final answer
    x = 357,406.68

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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.