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Finding the Fourth Proportional to 438,549.83, 658,087.18 and 189,231.83

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Solution

The fourth proportional to 438,549.83, 658,087.18 and 189,231.83 is: 283,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,549.83 : 658,087.18 = 189,231.83 : x
  2. Step 2: Convert to fraction form
    438,549.83/658,087.18 = 189,231.83/x
  3. Step 3: Cross multiply
    438,549.83x = 658,087.18 × 189,231.83
  4. Step 4: Simplify right side
    438,549.83x = 124,531,040,784.87
  5. Step 5: Solve for x
    x = 124,531,040,784.87/438,549.83
  6. Step 6: Final answer
    x = 283,960.98

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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.